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Finding the Third Proportional to 7.86 and 12.14

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Solution

The third proportional to 7.86 and 12.14 is: 18.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.86 : 12.14 = 12.14 : x
  2. Step 2: Convert to fraction form
    7.86/12.14 = 12.14/x
  3. Step 3: Cross multiply
    7.86x = 12.14 × 12.14
  4. Step 4: Simplify right side
    7.86x = 147.43
  5. Step 5: Solve for x
    x = 147.43/7.86
  6. Step 6: Final answer
    x = 18.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.