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Finding the Third Proportional to 415,806 and 632,457

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Solution

The third proportional to 415,806 and 632,457 is: 961,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,806 : 632,457 = 632,457 : x
  2. Step 2: Convert to fraction form
    415,806/632,457 = 632,457/x
  3. Step 3: Cross multiply
    415,806x = 632,457 × 632,457
  4. Step 4: Simplify right side
    415,806x = 400,001,856,849
  5. Step 5: Solve for x
    x = 400,001,856,849/415,806
  6. Step 6: Final answer
    x = 961,991.55

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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.