what is the mean proportion between 180 and 125?
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If a,b, c are in continued proportion then a,b,b,c are in proportion i.e
a:b::b:c
product of extreme= product of means
a×c=b×b
a×c=b²
Continued proportion is also known as mean proportional.
Formula of mean proportional is :
b²=a×c
a= 180, c= 125
b²= 180×125
b=√ 5×36× 25×5
b=√5×5×6×6×5×5
b= 5×5×6
b= 150
The mean proportional is 150
a:b::b:c
product of extreme= product of means
a×c=b×b
a×c=b²
Continued proportion is also known as mean proportional.
Formula of mean proportional is :
b²=a×c
a= 180, c= 125
b²= 180×125
b=√ 5×36× 25×5
b=√5×5×6×6×5×5
b= 5×5×6
b= 150
The mean proportional is 150
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