Question

Find the mean proportional between 16 and 441

Answer 1

Numbers are 16 and 441

If the mean proportional between 16 and 441

If the mean proportional between

$a \: and \ c \: is \: b \:$

Then,

$a : b \: = b : c ⇒b² = ac$

$b² = 16 \times 441$

$\: ⇒b² = 4 \times 21 = 84$

$\: ⇒b = 4 \times 21 = 84$

Hence, the mean proportional is 84..