Given that, a : b = 2 : 3 ,
c : b = 3 : 4.
and we need to find a:c.
So, let's make b's (3 and 4) equal in both the ratios so that we can eliminate b to get a:c.
LCM of 3 and 4 is 12. So, we need to make both the b's equal to 12.
In first ratio b is 3. So, we need to multiply the first ratio by 4 to get 12.
So, a:b = 2 : 3 = 2*4 : 3*4 = 8 : 12
Similarly c : b = 3: 4 = 3*3 : 4* 3 = 9 : 12
So, a: b : c = 8: 12 : 9.
Hence, the correct choice is d) a: c = 8 : 9
I hope this helps to you!
