The third proportional to 38 and 15 is -

A. $$\frac{{15 \times 15}}{{38}}$$

B. $$\frac{{38 \times 15}}{2}$$

C. $$\frac{{38 \times 38}}{{15}}$$

D. $$\frac{{15}}{{38 \times 38}}$$

Answer: Option A

Solution(By Examveda Team)

Let the third proportional to 38 and 15 be x
$$\eqalign{ & {\text{Then,}} \cr & \Rightarrow 38:15::15:x \cr & \Rightarrow 38x = 15 \times 15 \cr & \Rightarrow x = \frac{{15 \times 15}}{{38}} \cr} $$