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Finding the Third Proportional to 327,438 and 489,137

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Solution

The third proportional to 327,438 and 489,137 is: 730,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,438 : 489,137 = 489,137 : x
  2. Step 2: Convert to fraction form
    327,438/489,137 = 489,137/x
  3. Step 3: Cross multiply
    327,438x = 489,137 × 489,137
  4. Step 4: Simplify right side
    327,438x = 239,255,004,769
  5. Step 5: Solve for x
    x = 239,255,004,769/327,438
  6. Step 6: Final answer
    x = 730,687.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.