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Finding the Third Proportional to 206,109 and 439,218

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Solution

The third proportional to 206,109 and 439,218 is: 935,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,109 : 439,218 = 439,218 : x
  2. Step 2: Convert to fraction form
    206,109/439,218 = 439,218/x
  3. Step 3: Cross multiply
    206,109x = 439,218 × 439,218
  4. Step 4: Simplify right side
    206,109x = 192,912,451,524
  5. Step 5: Solve for x
    x = 192,912,451,524/206,109
  6. Step 6: Final answer
    x = 935,972.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.