Third Proportional

Third Proportional – Verified PYQ Authority Guide

Third Proportionalis treated here as a focused concept hub. The aim is to show exactly how this concept appears across verified PYQs, which formulas or relationships recur in the solved corpus, and which nearby concepts deserve revision next. Every factual learning cue below is drawn from the existing verified, published and approved English PYQ corpus or from its Knowledge Graph relationships; the hub does not invent unsupported technical claims.

PYQ evidence snapshot

17 verified PYQsare currently mapped to this Concept hub. The represented years include2025. Exam coverage currently includesRRB NTPC Under Graduate Level. Subject context includesQuantitative Aptitude. These values come from live mappings and can expand automatically when new verified PYQs are added.

Most useful verified PYQs to solve first

Start with the actual questions rather than memorising a generic note. The links below are ranked from the mapped corpus using repeat history and editorial quality, while the complete explanation stays on the individual question page.

1. If 5 and 10 are given, what is the third proportional to these numbers?
   RRB NTPC Under Graduate Level · 2025
   If c is the third proportional to a and b, then a : b = b : c. Thus 5 : 10 = 10…
2. Find the third proportional to 8 and 48.2.
   RRB NTPC Under Graduate Level · 2025
   Use the standard Third Proportional method and simplify; the result matches 290.405.
3. If the cost of 6 chocolates, 12 chocolates, and x chocolates are in proportion such that x is the third proportional, how many chocolates correspond to x?
   RRB NTPC Under Graduate Level · 2025
   Use the standard Third Proportional method and simplify; the result matches 24.
4. If the third proportional to 0.8 and 5.6 is n, then what is the value of n?
   RRB NTPC Under Graduate Level · 2025
   Use the standard Third Proportional method and simplify; the result matches 39.2.
5. What is the ratio between the third proportional of 36 and 48 to the third proportional of 49 and 64?
   RRB NTPC Under Graduate Level · 2025
   Use the standard Third Proportional method and simplify; the result matches 49:64.
6. Find the third proportional to 8 and 16.
   RRB NTPC Under Graduate Level · 2025
   Use the standard Third Proportional method and simplify; the result matches 32.
7. If p is the third proportional to 6 and 18, and q is the third proportional to p and 54, find the value of q.
   RRB NTPC Under Graduate Level · 2025
   Use the standard Third Proportional method and simplify; the result matches 54.
8. What smallest positive number should be subtracted from 3 and 5 so that 8 is the third proportional to them?
   RRB NTPC Under Graduate Level · 2025
   Use the standard Third Proportional method and simplify; the result matches 1.

Formula & key-relationship bank from verified solutions

• If a : b = b : c, then c = b² / a
• a : b = c : d ⇒ ad = bc

Use these as revision triggers and open the linked PYQ before applying a formula numerically; variable definitions and assumptions belong to the exact solved question.

Core ideas repeatedly reinforced by the solved corpus

• If c is the third proportional to a and b, then a : b = b : c. Thus 5 : 10 = 10 : c, so 5c = 100 and c = 20.
• Use the standard Third Proportional method and simplify; the result matches 290.405.
• Use the standard Third Proportional method and simplify; the result matches 24.
• Use the standard Third Proportional method and simplify; the result matches 39.2.
• Use the standard Third Proportional method and simplify; the result matches 49:64.

Exam tips already validated in SRO solutions

• Memorise third proportional as b²/a, but also know the ratio definition so you can reconstruct the formula.
• Identify the Third Proportional relationship before calculation and keep units/bases consistent.

Common mistakes to avoid

• Using √(ab), which is related to mean proportional, instead of b²/a for the third proportional.
• Using a shortcut without checking its conditions or using the wrong base/unit.

Topic and concept coverage

Mapped topic labels includeRatio and Proportion. The concept trail includesThird Proportional. Use these labels as a revision map: move from the broad area to the narrow concept, solve a verified PYQ, inspect the detailed reasoning, and then attempt another question from the same cluster.

Knowledge Graph navigation

Continue withProportion,Ratio and Proportion,Arithmetic,Quantitative Aptitude. These are canonical SRO entity links based on the Knowledge Graph and shared question mappings, not keyword-stuffed tag pages.

How to revise this authority page efficiently

1. Solve before reading:answer a mapped PYQ first.
2. Read the exact explanation:verify the correct principle, formula, distractor logic and common mistake on that question page.
3. Move one level in the graph:use the closest concept/sub-topic/topic link rather than opening unrelated content.
4. Reattempt:solve another verified PYQ from this hub and check whether the same error repeats.

Quality scope:this page is automatically maintained from SRO’s verified mapped corpus. It enriches one canonical authority URL instead of generating multiple near-duplicate pages for keyword variants. Manual authority articles are never overwritten by the automated engine.