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Finding the Third Proportional to 432,367 and 687,042

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Solution

The third proportional to 432,367 and 687,042 is: 1,091,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,367 : 687,042 = 687,042 : x
  2. Step 2: Convert to fraction form
    432,367/687,042 = 687,042/x
  3. Step 3: Cross multiply
    432,367x = 687,042 × 687,042
  4. Step 4: Simplify right side
    432,367x = 472,026,709,764
  5. Step 5: Solve for x
    x = 472,026,709,764/432,367
  6. Step 6: Final answer
    x = 1,091,726.96

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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.