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Finding the Third Proportional to 415,578 and 632,115

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Solution

The third proportional to 415,578 and 632,115 is: 961,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,578 : 632,115 = 632,115 : x
  2. Step 2: Convert to fraction form
    415,578/632,115 = 632,115/x
  3. Step 3: Cross multiply
    415,578x = 632,115 × 632,115
  4. Step 4: Simplify right side
    415,578x = 399,569,373,225
  5. Step 5: Solve for x
    x = 399,569,373,225/415,578
  6. Step 6: Final answer
    x = 961,478.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.