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Finding the Third Proportional to 415,910 and 851,493

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Solution

The third proportional to 415,910 and 851,493 is: 1,743,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,910 : 851,493 = 851,493 : x
  2. Step 2: Convert to fraction form
    415,910/851,493 = 851,493/x
  3. Step 3: Cross multiply
    415,910x = 851,493 × 851,493
  4. Step 4: Simplify right side
    415,910x = 725,040,329,049
  5. Step 5: Solve for x
    x = 725,040,329,049/415,910
  6. Step 6: Final answer
    x = 1,743,262.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.