Question

If 2304, x, 5929 are in continued proportion , find the value of x .

• A. 3698
• B. 3697
• C. 3699
• D. 3696

Answer 1

The correct option is D

3696

Given : 2304, x, 5929 are in continued proportion

$\Rightarrow$ 2304: x : : x: 5929

In a proportion, product of means = product of extremes

$\Rightarrow$ $x\times x=2304\times 5929$

$\Rightarrow$ $x^2=2304\times 5929$

$\Rightarrow$ $x=\sqrt{2304}\times \sqrt{5929}$

$\Rightarrow$ $x=48\times 77$

$\Rightarrow$ x= 3696