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Finding the Third Proportional to 11.38 and 18.81

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Solution

The third proportional to 11.38 and 18.81 is: 31.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.38 : 18.81 = 18.81 : x
  2. Step 2: Convert to fraction form
    11.38/18.81 = 18.81/x
  3. Step 3: Cross multiply
    11.38x = 18.81 × 18.81
  4. Step 4: Simplify right side
    11.38x = 353.91
  5. Step 5: Solve for x
    x = 353.91/11.38
  6. Step 6: Final answer
    x = 31.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.