What is the ratio of the mean proportional between 24 and 150 and the third proportional between 12 and $$6\sqrt5$$ ?
mean proportional between 24 and 150.
mean proportion =Â $$\sqrt{\ 24\times\ 150}$$
= $$\sqrt{3600}$$
= 60Â Â Â Eq.(i)
Third proportional between 12 and $$6\sqrt5$$.
Let's assume the third proportion is 'T'.
12 :Â $$6\sqrt5$$ ::Â $$6\sqrt5$$ : T
12T =Â $$6\sqrt5\times6\sqrt5$$
12T = 180
T = 15Â Â Â Eq.(ii)
Ratio ==> Eq.(i) :Â Eq.(ii)
==> 60:15
==> 4:1
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