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Finding the Third Proportional to 204,829 and 419,496

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Solution

The third proportional to 204,829 and 419,496 is: 859,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,829 : 419,496 = 419,496 : x
  2. Step 2: Convert to fraction form
    204,829/419,496 = 419,496/x
  3. Step 3: Cross multiply
    204,829x = 419,496 × 419,496
  4. Step 4: Simplify right side
    204,829x = 175,976,894,016
  5. Step 5: Solve for x
    x = 175,976,894,016/204,829
  6. Step 6: Final answer
    x = 859,140.52

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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.