Ratio, Proportion

Quantitative Aptitude (CGL) SSC CGL Exam

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The third proportional between 25 and 35 is :

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Alright, let’s break down what “third proportional” means first:

- If a, b, and c are in continued proportion, then a : b :: b : c. Here, c is called the third proportional to a and b.

- That means, 25 : 35 :: 35 : x. So, 25/35 = 35/x.

- Cross-multiply to get 25x = 35×35, so x = (35×35)/25 = 49.

Let’s check your options:

- Option 1: 35 – That’s just repeating the second number, not the third proportional.

- Option 2: 49 – This is exactly what we calculated. The third proportional is 49.

- Option 3: 40 – That doesn’t fit the proportion.

- Option 4: 25 – That’s just the first number.

So, the correct answer is clearly option 2: 49.