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Finding the Third Proportional to 442,840 and 687,589

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Solution

The third proportional to 442,840 and 687,589 is: 1,067,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,840 : 687,589 = 687,589 : x
  2. Step 2: Convert to fraction form
    442,840/687,589 = 687,589/x
  3. Step 3: Cross multiply
    442,840x = 687,589 × 687,589
  4. Step 4: Simplify right side
    442,840x = 472,778,632,921
  5. Step 5: Solve for x
    x = 472,778,632,921/442,840
  6. Step 6: Final answer
    x = 1,067,605.98

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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.