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Finding the Third Proportional to 442,890 and 687,651

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Solution

The third proportional to 442,890 and 687,651 is: 1,067,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,890 : 687,651 = 687,651 : x
  2. Step 2: Convert to fraction form
    442,890/687,651 = 687,651/x
  3. Step 3: Cross multiply
    442,890x = 687,651 × 687,651
  4. Step 4: Simplify right side
    442,890x = 472,863,897,801
  5. Step 5: Solve for x
    x = 472,863,897,801/442,890
  6. Step 6: Final answer
    x = 1,067,677.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.