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Finding the Third Proportional to 11.78 and 20.91

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Solution

The third proportional to 11.78 and 20.91 is: 37.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 20.91 = 20.91 : x
  2. Step 2: Convert to fraction form
    11.78/20.91 = 20.91/x
  3. Step 3: Cross multiply
    11.78x = 20.91 × 20.91
  4. Step 4: Simplify right side
    11.78x = 437.08
  5. Step 5: Solve for x
    x = 437.08/11.78
  6. Step 6: Final answer
    x = 37.09

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.