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Finding the Third Proportional to 66,939 and 140,781

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Solution

The third proportional to 66,939 and 140,781 is: 296,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939 : 140,781 = 140,781 : x
  2. Step 2: Convert to fraction form
    66,939/140,781 = 140,781/x
  3. Step 3: Cross multiply
    66,939x = 140,781 × 140,781
  4. Step 4: Simplify right side
    66,939x = 19,819,289,961
  5. Step 5: Solve for x
    x = 19,819,289,961/66,939
  6. Step 6: Final answer
    x = 296,079.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.