Final answer:
To solve for x in the proportion 2:8 = 16:x, you cross-multiply and divide to get x = 64.
Step-by-step explanation:
To find the value of x in the ratio 2:8 = 16:x, we need to set up a proportion. A proportion is an equation that states that two ratios are equal. In this case, we have:
2 / 8 = 16 / x
We can solve for x by cross-multiplying:
2 * x = 8 * 16
2x = 128
x = 128 / 2
x = 64
Therefore, the value of x is 64.