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Finding the Third Proportional to 11.37 and 11.87

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Solution

The third proportional to 11.37 and 11.87 is: 12.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.37 : 11.87 = 11.87 : x
  2. Step 2: Convert to fraction form
    11.37/11.87 = 11.87/x
  3. Step 3: Cross multiply
    11.37x = 11.87 × 11.87
  4. Step 4: Simplify right side
    11.37x = 140.97
  5. Step 5: Solve for x
    x = 140.97/11.37
  6. Step 6: Final answer
    x = 12.40

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.