This deals with ratios and proportions.
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A : B = 2 : 3
B : C = 4 : 5.
Now, to find A : B : C, we need to make the value of B equal in A : B ratio and B : C ratio.
Here, Value of B in A : B ratio is 3; and B : C ratio is 4.
LCM of 3 and 4 is 12. Therefore, we multiply 4 to the first ratio and 3 to the second ratio.
A : B = 2 × 4 : 3 × 4
A : B = 8 : 12
Also,
B : C = 4 × 3 : 5 × 3
B : C = 12 : 15
Now, we can combine A : B and B : C.
A : B : C = 8 : 12 : 15.