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Finding the Third Proportional to 81,690 and 179,934

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Solution

The third proportional to 81,690 and 179,934 is: 396,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,690 : 179,934 = 179,934 : x
  2. Step 2: Convert to fraction form
    81,690/179,934 = 179,934/x
  3. Step 3: Cross multiply
    81,690x = 179,934 × 179,934
  4. Step 4: Simplify right side
    81,690x = 32,376,244,356
  5. Step 5: Solve for x
    x = 32,376,244,356/81,690
  6. Step 6: Final answer
    x = 396,330.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.