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Finding the Third Proportional to 204,497 and 418,910

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Solution

The third proportional to 204,497 and 418,910 is: 858,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,497 : 418,910 = 418,910 : x
  2. Step 2: Convert to fraction form
    204,497/418,910 = 418,910/x
  3. Step 3: Cross multiply
    204,497x = 418,910 × 418,910
  4. Step 4: Simplify right side
    204,497x = 175,485,588,100
  5. Step 5: Solve for x
    x = 175,485,588,100/204,497
  6. Step 6: Final answer
    x = 858,132.82

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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.