Question

Find the value of $x$, if the following is in continued proportion: $18,xand50$.

Answer 1

Step 1: Find the value of $x$

Given that, $18,xand50$ are in continued proportion.

So, $18:x::x:50$

$\Rightarrow \frac{18}{x}=\frac{x}{50}$

$\Rightarrow x\times x=18\times 50$

$\Rightarrow x^2=900$

$\Rightarrow x=\sqrt{900}$

$\Rightarrow x=\pm 30$

Step 2: Consider the positive value of $x$.

We cannot consider the $-30$, because between the two positive numbers, only positive number will lie.

So, $x=30$

Hence, the value of $x=30$.