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Finding the Third Proportional to 391,472 and 834,217

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Solution

The third proportional to 391,472 and 834,217 is: 1,777,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,472 : 834,217 = 834,217 : x
  2. Step 2: Convert to fraction form
    391,472/834,217 = 834,217/x
  3. Step 3: Cross multiply
    391,472x = 834,217 × 834,217
  4. Step 4: Simplify right side
    391,472x = 695,918,003,089
  5. Step 5: Solve for x
    x = 695,918,003,089/391,472
  6. Step 6: Final answer
    x = 1,777,695.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.