Finding the Third Proportional to 410 and 442
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Solution
The third proportional to 410 and 442 is: 476.50
Step by Step Solution
- Step 1: Write the proportion equation
410 : 442 = 442 : x - Step 2: Convert to fraction form
410/442 = 442/x - Step 3: Cross multiply
410x = 442 × 442 - Step 4: Simplify right side
410x = 195,364 - Step 5: Solve for x
x = 195,364/410 - Step 6: Final answer
x = 476.50
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.