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Finding the Third Proportional to 92,781 and 140,031

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Solution

The third proportional to 92,781 and 140,031 is: 211,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,781 : 140,031 = 140,031 : x
  2. Step 2: Convert to fraction form
    92,781/140,031 = 140,031/x
  3. Step 3: Cross multiply
    92,781x = 140,031 × 140,031
  4. Step 4: Simplify right side
    92,781x = 19,608,680,961
  5. Step 5: Solve for x
    x = 19,608,680,961/92,781
  6. Step 6: Final answer
    x = 211,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.