Question

If 25, 35, and x are in continued proportion, then find the value of x.

Answer 1

Given, 25, 35, and x are in continued proportion.
So, $25:35::35:x$
In continued proportions, the product of extremes is equal to the square of the mean proportional.
So, $25\times x={35}^2$
$x=\frac{35\times 35}{25}=49$
So, the value of x is 49.