find two numbers whose mean proportion is 24 and third proportion is 1536?
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Let the x and y are two numbers
Their mean proportion= 24
Third proportion= 1536
The mean proportion of x and y= 8
XY= 24^2
=576
Y= 576/x
X:y::y:1536
Y^2= 1536× x
(576/x)^2 = 1536×x
576^2/x^2 =1536×x
331776 =1536 ×x^3
331776/1536 = x^3
216 =x^3
3√216 =x
6=x
So, y= 576/6
=96
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