Question

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Answer 1

Answer:

a)In this case they are called the mean proportional and the last one is then known as the third proportional.

This means we have:

6/12=12/x

which can be written as two equal ratios:

6:12=12::x

Cross-multiply to get

6x=144

x=24

b) The third proportion is given as a:b::b:c. Here we have a = 12 and b = 18, then c, the third proportion is (b)^2/a = 18*18/12 = 27. The answer is 27.

d) The third proportion of 5 and 20

5:25::25: c

c = 25*25/5= 125