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Finding the Third Proportional to 205,919 and 451,204

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Solution

The third proportional to 205,919 and 451,204 is: 988,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,919 : 451,204 = 451,204 : x
  2. Step 2: Convert to fraction form
    205,919/451,204 = 451,204/x
  3. Step 3: Cross multiply
    205,919x = 451,204 × 451,204
  4. Step 4: Simplify right side
    205,919x = 203,585,049,616
  5. Step 5: Solve for x
    x = 203,585,049,616/205,919
  6. Step 6: Final answer
    x = 988,665.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.