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Finding the Third Proportional to 192,787 and 408,902

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Solution

The third proportional to 192,787 and 408,902 is: 867,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,787 : 408,902 = 408,902 : x
  2. Step 2: Convert to fraction form
    192,787/408,902 = 408,902/x
  3. Step 3: Cross multiply
    192,787x = 408,902 × 408,902
  4. Step 4: Simplify right side
    192,787x = 167,200,845,604
  5. Step 5: Solve for x
    x = 167,200,845,604/192,787
  6. Step 6: Final answer
    x = 867,282.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.