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Finding the Third Proportional to 80,691.75 and 168,023.25

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Solution

The third proportional to 80,691.75 and 168,023.25 is: 349,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,691.75 : 168,023.25 = 168,023.25 : x
  2. Step 2: Convert to fraction form
    80,691.75/168,023.25 = 168,023.25/x
  3. Step 3: Cross multiply
    80,691.75x = 168,023.25 × 168,023.25
  4. Step 4: Simplify right side
    80,691.75x = 28,231,812,540.56
  5. Step 5: Solve for x
    x = 28,231,812,540.56/80,691.75
  6. Step 6: Final answer
    x = 349,872.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.