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Finding the Third Proportional to 5.02 and 11.87

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Solution

The third proportional to 5.02 and 11.87 is: 28.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.02 : 11.87 = 11.87 : x
  2. Step 2: Convert to fraction form
    5.02/11.87 = 11.87/x
  3. Step 3: Cross multiply
    5.02x = 11.87 × 11.87
  4. Step 4: Simplify right side
    5.02x = 140.97
  5. Step 5: Solve for x
    x = 140.97/5.02
  6. Step 6: Final answer
    x = 28.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.