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Finding the Third Proportional to 442,839 and 687,588

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Solution

The third proportional to 442,839 and 687,588 is: 1,067,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,839 : 687,588 = 687,588 : x
  2. Step 2: Convert to fraction form
    442,839/687,588 = 687,588/x
  3. Step 3: Cross multiply
    442,839x = 687,588 × 687,588
  4. Step 4: Simplify right side
    442,839x = 472,777,257,744
  5. Step 5: Solve for x
    x = 472,777,257,744/442,839
  6. Step 6: Final answer
    x = 1,067,605.29

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