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Finding the Third Proportional to 11.23 and 20.09

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Solution

The third proportional to 11.23 and 20.09 is: 35.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.23 : 20.09 = 20.09 : x
  2. Step 2: Convert to fraction form
    11.23/20.09 = 20.09/x
  3. Step 3: Cross multiply
    11.23x = 20.09 × 20.09
  4. Step 4: Simplify right side
    11.23x = 403.68
  5. Step 5: Solve for x
    x = 403.68/11.23
  6. Step 6: Final answer
    x = 35.94

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.