Finding the Third Proportional to 370 and 408
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Solution
The third proportional to 370 and 408 is: 449.90
Step by Step Solution
- Step 1: Write the proportion equation
370 : 408 = 408 : x - Step 2: Convert to fraction form
370/408 = 408/x - Step 3: Cross multiply
370x = 408 × 408 - Step 4: Simplify right side
370x = 166,464 - Step 5: Solve for x
x = 166,464/370 - Step 6: Final answer
x = 449.90
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.