To find ratio express all the terms in terms of C
A = 1/3 B
B = 1/2 C
Put B = 1/2 C in A value
A = 1/3 B = 1/3 * 1/2 C = 1/6 C
A:B:C = 1/6 C : 1/2 C : C
Multiply 6 in all terms
A:B:C = 6/6 C : 6/2 C : 6 C
A:B:C = C : 3C : 6C
Remove common term because it is a ratio
A:B:C = 1:3:6
Answer
A:B:C = 1:3:6