Finding the Third Proportional to 256 and 415
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Solution
The third proportional to 256 and 415 is: 672.75
Step by Step Solution
- Step 1: Write the proportion equation
256 : 415 = 415 : x - Step 2: Convert to fraction form
256/415 = 415/x - Step 3: Cross multiply
256x = 415 × 415 - Step 4: Simplify right side
256x = 172,225 - Step 5: Solve for x
x = 172,225/256 - Step 6: Final answer
x = 672.75
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.