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Finding the Third Proportional to 80.47 and 113.11

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Solution

The third proportional to 80.47 and 113.11 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.47 : 113.11 = 113.11 : x
  2. Step 2: Convert to fraction form
    80.47/113.11 = 113.11/x
  3. Step 3: Cross multiply
    80.47x = 113.11 × 113.11
  4. Step 4: Simplify right side
    80.47x = 12,793.73
  5. Step 5: Solve for x
    x = 12,793.73/80.47
  6. Step 6: Final answer
    x = 158.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.