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Finding the Third Proportional to 84,181 and 140,285

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Solution

The third proportional to 84,181 and 140,285 is: 233,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,181 : 140,285 = 140,285 : x
  2. Step 2: Convert to fraction form
    84,181/140,285 = 140,285/x
  3. Step 3: Cross multiply
    84,181x = 140,285 × 140,285
  4. Step 4: Simplify right side
    84,181x = 19,679,881,225
  5. Step 5: Solve for x
    x = 19,679,881,225/84,181
  6. Step 6: Final answer
    x = 233,780.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.