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Finding the Third Proportional to 204,902 and 419,920

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Solution

The third proportional to 204,902 and 419,920 is: 860,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902 : 419,920 = 419,920 : x
  2. Step 2: Convert to fraction form
    204,902/419,920 = 419,920/x
  3. Step 3: Cross multiply
    204,902x = 419,920 × 419,920
  4. Step 4: Simplify right side
    204,902x = 176,332,806,400
  5. Step 5: Solve for x
    x = 176,332,806,400/204,902
  6. Step 6: Final answer
    x = 860,571.43

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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.