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Finding the Third Proportional to 11.50 and 20.91

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Solution

The third proportional to 11.50 and 20.91 is: 38.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 20.91 = 20.91 : x
  2. Step 2: Convert to fraction form
    11.50/20.91 = 20.91/x
  3. Step 3: Cross multiply
    11.50x = 20.91 × 20.91
  4. Step 4: Simplify right side
    11.50x = 437.08
  5. Step 5: Solve for x
    x = 437.08/11.50
  6. Step 6: Final answer
    x = 38.01

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.