If $$x=\frac{y}{2}$$​ and $$y=\frac{z}{6}$$​, then $$x:y:z$$​ is equal to :

Correct option is C

Given:
x = $$\frac y2$$​

y = $$\frac z6$$​
Formula Used:
To find the ratio x : y : z, express all variables in terms of a common variable.
Solution:
From the given relations:
x = $$\frac y2$$​, so y = 2x

y =$$\frac z6$$​, so z = 6y.
Now, substitute y = 2x into z = 6y:
z = 6 × 2x = 12x.
Thus, x : y : z = x : 2x : 12x.
Now, divide by x: 1 : 2 : 12.
Therefore, the ratio x : y : z is 1 : 2 : 12.