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Finding the Third Proportional to 204,246 and 418,860

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Solution

The third proportional to 204,246 and 418,860 is: 858,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,246 : 418,860 = 418,860 : x
  2. Step 2: Convert to fraction form
    204,246/418,860 = 418,860/x
  3. Step 3: Cross multiply
    204,246x = 418,860 × 418,860
  4. Step 4: Simplify right side
    204,246x = 175,443,699,600
  5. Step 5: Solve for x
    x = 175,443,699,600/204,246
  6. Step 6: Final answer
    x = 858,982.30

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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.