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Finding the Third Proportional to 11.18 and 20.24

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Solution

The third proportional to 11.18 and 20.24 is: 36.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.18 : 20.24 = 20.24 : x
  2. Step 2: Convert to fraction form
    11.18/20.24 = 20.24/x
  3. Step 3: Cross multiply
    11.18x = 20.24 × 20.24
  4. Step 4: Simplify right side
    11.18x = 409.61
  5. Step 5: Solve for x
    x = 409.61/11.18
  6. Step 6: Final answer
    x = 36.65

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.