To find the missing term (let’s denote it as X) that makes the ratios 153:X and X:315 equivalent, we can set up a proportion. Two ratios are equivalent when the cross multiplication gives the same product.
This means we can express the relationship as:
153/X = X/315
If we cross-multiply, we get:
153 * 315 = X * X
Calculating the left side:
153 * 315 = 48295
This gives us:
X^2 = 48295
Next, we need to find the value of X by taking the square root of 48295:
X = √48295
Calculating the square root:
X ≈ 219.66
Therefore, the missing term that makes the ratios 153:X and X:315 equivalent is approximately 219.66.
This shows that when you set the terms of the ratios properly, you can find the missing term through simple algebraic manipulation and cross-multiplication.