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Finding the Third Proportional to 68,921 and 140,762

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Solution

The third proportional to 68,921 and 140,762 is: 287,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,921 : 140,762 = 140,762 : x
  2. Step 2: Convert to fraction form
    68,921/140,762 = 140,762/x
  3. Step 3: Cross multiply
    68,921x = 140,762 × 140,762
  4. Step 4: Simplify right side
    68,921x = 19,813,940,644
  5. Step 5: Solve for x
    x = 19,813,940,644/68,921
  6. Step 6: Final answer
    x = 287,487.71

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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.