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Finding the Third Proportional to 204,909 and 419,934

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Solution

The third proportional to 204,909 and 419,934 is: 860,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,909 : 419,934 = 419,934 : x
  2. Step 2: Convert to fraction form
    204,909/419,934 = 419,934/x
  3. Step 3: Cross multiply
    204,909x = 419,934 × 419,934
  4. Step 4: Simplify right side
    204,909x = 176,344,564,356
  5. Step 5: Solve for x
    x = 176,344,564,356/204,909
  6. Step 6: Final answer
    x = 860,599.41

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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.