Question

If we have a problem like a : b = 3 : 4 & b : c = 5 : 7. How do we convert it into a continuous ratio?

Answer 1

a:b=3:4
b:c=5::7
a:b:c=3:4:4
5:5:7
15:20:28

Answer 2

a : b = 3 : 4

b : c = 5 : 7

we can see that both ratio has b. To make it a continuous ratio, we make the "b"s the same, so that we can collapse the 2 ratios into 1 ratio.

a : b = 3 : 4

multiply by 5:

a : b = 15 : 20

b : c = 5 : 7

Multiply by 4:

b : c = 20 : 28

So a : b : c = 15 : 20 : 28

Answer: a : b : c = 15 : 20 : 28