Question

find the mean proportion between 0.06 and0. 96

Answer 1

The answer is 0.24 as explained in the pic attached.

Answer 2

AnsweR :

$\sf{Let \: the \: mean \: proportion \: between \: 0.06 \: and \: 0.96 \: be \: 'x'}$

$\sf\therefore \: 0.06, \: x \: \: and \: \: 0.96 \: are \: in \: continued \: proportion$

$\sf{⇒ \: 0.06 : x ::x: 0.96}$

$\sf ⇒ \: x×x=0.06×0.96$

$\sf ⇒ x²=.0576$

$\sf ⇒x= \sqrt{.0567} \\ =0.24$

Mean proportion = 0.24