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Finding the Third Proportional to 13.76 and 20.17

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Solution

The third proportional to 13.76 and 20.17 is: 29.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 20.17 = 20.17 : x
  2. Step 2: Convert to fraction form
    13.76/20.17 = 20.17/x
  3. Step 3: Cross multiply
    13.76x = 20.17 × 20.17
  4. Step 4: Simplify right side
    13.76x = 406.87
  5. Step 5: Solve for x
    x = 406.87/13.76
  6. Step 6: Final answer
    x = 29.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.