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Finding the Third Proportional to 68,934 and 140,781

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Solution

The third proportional to 68,934 and 140,781 is: 287,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,934 : 140,781 = 140,781 : x
  2. Step 2: Convert to fraction form
    68,934/140,781 = 140,781/x
  3. Step 3: Cross multiply
    68,934x = 140,781 × 140,781
  4. Step 4: Simplify right side
    68,934x = 19,819,289,961
  5. Step 5: Solve for x
    x = 19,819,289,961/68,934
  6. Step 6: Final answer
    x = 287,511.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.