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Finding the Third Proportional to 432,327.38 and 687,124.27

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Solution

The third proportional to 432,327.38 and 687,124.27 is: 1,092,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,327.38 : 687,124.27 = 687,124.27 : x
  2. Step 2: Convert to fraction form
    432,327.38/687,124.27 = 687,124.27/x
  3. Step 3: Cross multiply
    432,327.38x = 687,124.27 × 687,124.27
  4. Step 4: Simplify right side
    432,327.38x = 472,139,756,410.70
  5. Step 5: Solve for x
    x = 472,139,756,410.70/432,327.38
  6. Step 6: Final answer
    x = 1,092,088.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.