Exams › SSC CGL (Prelims) › General

If the third proportional of 3x^2 and 4xy is 48, find the positive value of y.

1. 3
2. 5
3. 2
4. 4

Correct answer: 3

Solution

Third proportional of a and b is c such that a:b = b:c, meaning b^2 = ac. Here: (4xy)^2 = (3x^2)(48) => 16x^2y^2 = 144x^2 => y^2 = 9 => y = 3.

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