Question : If the third proportional of $3x^2$ and $4xy$ is 48, find the positive value of $y$.
Option 1: 3
Option 2: 5
Option 3: 2
Option 4: 4
Answer (1)
21st Jan, 2024
Correct Answer: 3
Solution :
Given: The third proportional of $3 x^2$ and $4xy$ is 48.
So, $3x^2:4xy::4xy:48$
⇒ $\frac{3x^2}{4xy}=\frac{4xy}{48}$
⇒ $16y^2=144$
⇒ $y^2=\frac{144}{16}$
⇒ $y^2=9$
⇒ $y=3$ (Since we need to find the positive value)
Hence, the correct answer is 3.
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