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Q.

State True or False.


The third proportional between 9 and 12 is 10.5 .


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a

True

b

False 

answer is B.

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Detailed Solution

It is given that the third proportional between 9 and 12 is 10.5 .
The third proportion is given by,
a:b::b:c
9:12::12:x
where x is the third proportional.
a b = b c
Substitute the known values within the formula,
9×x=12×12 9x=144 x= 144 9
By solving the above equation,
x=16 .
The third proportion between 9 and 12 is 16 but not 10.5 .
Hence the statement is false.
Hence option 2) is correct.
 
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