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Finding the Third Proportional to 38,781 and 79,992

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Solution

The third proportional to 38,781 and 79,992 is: 164,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781 : 79,992 = 79,992 : x
  2. Step 2: Convert to fraction form
    38,781/79,992 = 79,992/x
  3. Step 3: Cross multiply
    38,781x = 79,992 × 79,992
  4. Step 4: Simplify right side
    38,781x = 6,398,720,064
  5. Step 5: Solve for x
    x = 6,398,720,064/38,781
  6. Step 6: Final answer
    x = 164,996.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.