Question

find the mean proportional for 2, 18

Explanation:

Step1: Recall the formula for mean proportional

If \(a\) and \(b\) are two numbers, the mean proportional \(x\) between them satisfies \(x^{2}=a\times b\). Here \(a = 2\) and \(b=18\).
So, \(x^{2}=2\times18\).

Step2: Calculate the value of \(x\)

First, calculate \(2\times18 = 36\). Then, since \(x^{2}=36\), taking the square - root of both sides (we consider the positive root as mean proportional between two positive numbers is positive), \(x=\sqrt{36}\).

Answer:

\(6\)