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Finding the Third Proportional to 191,727 and 408,042

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Solution

The third proportional to 191,727 and 408,042 is: 868,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,727 : 408,042 = 408,042 : x
  2. Step 2: Convert to fraction form
    191,727/408,042 = 408,042/x
  3. Step 3: Cross multiply
    191,727x = 408,042 × 408,042
  4. Step 4: Simplify right side
    191,727x = 166,498,273,764
  5. Step 5: Solve for x
    x = 166,498,273,764/191,727
  6. Step 6: Final answer
    x = 868,413.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.