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Finding the Third Proportional to 11.87 and 28.77

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Solution

The third proportional to 11.87 and 28.77 is: 69.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.87 : 28.77 = 28.77 : x
  2. Step 2: Convert to fraction form
    11.87/28.77 = 28.77/x
  3. Step 3: Cross multiply
    11.87x = 28.77 × 28.77
  4. Step 4: Simplify right side
    11.87x = 827.67
  5. Step 5: Solve for x
    x = 827.67/11.87
  6. Step 6: Final answer
    x = 69.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.