Finding the Third Proportional to 306 and 466
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Solution
The third proportional to 306 and 466 is: 709.66
Step by Step Solution
- Step 1: Write the proportion equation
306 : 466 = 466 : x - Step 2: Convert to fraction form
306/466 = 466/x - Step 3: Cross multiply
306x = 466 × 466 - Step 4: Simplify right side
306x = 217,156 - Step 5: Solve for x
x = 217,156/306 - Step 6: Final answer
x = 709.66
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.