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Finding the Third Proportional to 84,182 and 140,286

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Solution

The third proportional to 84,182 and 140,286 is: 233,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,182 : 140,286 = 140,286 : x
  2. Step 2: Convert to fraction form
    84,182/140,286 = 140,286/x
  3. Step 3: Cross multiply
    84,182x = 140,286 × 140,286
  4. Step 4: Simplify right side
    84,182x = 19,680,161,796
  5. Step 5: Solve for x
    x = 19,680,161,796/84,182
  6. Step 6: Final answer
    x = 233,781.11

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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.