9. Find the sum of two numbers whose geometric mean is 6 and third proportional is 20.25
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Answer:
Let the requird no be a and b
36 is the mean proportional between a and b
36
a
=
b
36
ab=1296, a=
b
1296
288 is the third proportion.
b
a
=
288
b
b
2
=a
b
2
=288×
b
1296
b
3
=373248
b=72
∴ a= 18
∴ Two numbers are 18 and 72.
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