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Finding the Third Proportional to 204,831 and 419,502

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Solution

The third proportional to 204,831 and 419,502 is: 859,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,831 : 419,502 = 419,502 : x
  2. Step 2: Convert to fraction form
    204,831/419,502 = 419,502/x
  3. Step 3: Cross multiply
    204,831x = 419,502 × 419,502
  4. Step 4: Simplify right side
    204,831x = 175,981,928,004
  5. Step 5: Solve for x
    x = 175,981,928,004/204,831
  6. Step 6: Final answer
    x = 859,156.71

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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.