Final answer:
To solve the proportion 6/x = x/[?], we assume the missing number is y to get the proportion 6/x = x/y, and then cross multiply to get 6y = x^2. To find the missing value y or x, we must know one of the variables.
Step-by-step explanation:
To solve for x in the proportion 6/x = x/[?], we need to find the unknown number that x is being compared to in the second ratio. Assume the missing number is y, so the proportion becomes 6/x = x/y. To solve this, we will cross multiply.
We have 6 × y = x × x, which simplifies to 6y = x^2. To find y when x is known or vice versa, we'll need the value of one of the variables. If x were known, we could solve for y by dividing both sides by 6. If y were known, we could take the square root of the product of 6 and y to find x.