Question

Find the mean proportion to $16\frac{2}{3},6$

Answer 1

Mean proportion of two numbers means square root of product of two numbers.

Firstly we will simplify $16\frac{2}{3}$

$16\frac{2}{3}=\frac{16\times 3+2}{3}=\frac{48+2}{3}=\frac{50}{3}$

Mean proportion of $\frac{50}{3},6=\sqrt{\frac{50\times 6}{3}}$

$=\sqrt{50\times 2}$

$=\sqrt{100}$

$=\sqrt{10\times 10}$

$=10$