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Finding the Third Proportional to 13.13 and 20.38

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Solution

The third proportional to 13.13 and 20.38 is: 31.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 20.38 = 20.38 : x
  2. Step 2: Convert to fraction form
    13.13/20.38 = 20.38/x
  3. Step 3: Cross multiply
    13.13x = 20.38 × 20.38
  4. Step 4: Simplify right side
    13.13x = 415.14
  5. Step 5: Solve for x
    x = 415.14/13.13
  6. Step 6: Final answer
    x = 31.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.