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Finding the Third Proportional to 204,493 and 418,902

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Solution

The third proportional to 204,493 and 418,902 is: 858,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493 : 418,902 = 418,902 : x
  2. Step 2: Convert to fraction form
    204,493/418,902 = 418,902/x
  3. Step 3: Cross multiply
    204,493x = 418,902 × 418,902
  4. Step 4: Simplify right side
    204,493x = 175,478,885,604
  5. Step 5: Solve for x
    x = 175,478,885,604/204,493
  6. Step 6: Final answer
    x = 858,116.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.