Find the mean proportional between 18 and 72.

Question

Accepted Answer

The mean proportional $$ x $$ between two numbers $$ a $$ and $$ b $$ is given by:  
$$
\frac{a}{x} = \frac{x}{b}
$$

Here, $$ a = 18 $$ and $$ b = 72 $$. Substituting these values:  
$$
\frac{18}{x} = \frac{x}{72}
$$

Cross-multiplying:  
$$
x^2 = 18 	imes 72
$$

Simplify:  
$$
x^2 = 1296
$$

Taking the square root of both sides:  
$$
x = \sqrt{1296} = 36
$$

Thus, the mean proportional is **36**.

Answer

Answer

Answer