If a : b = 2 : 3 and b : c = 3 : 4, find the continued ratio between the quantities a, b, and c?

2 : 3 : 4

2 : 6 : 4

2 : 9 : 5

None of these

Given a : b = 2 : 3 and b : c = 3 : 4

Since b is common in both ratios, we can directly combine the ratios:

a : b : c = 2 : 3 : 4