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Finding the Third Proportional to 9.12 and 12.86

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Solution

The third proportional to 9.12 and 12.86 is: 18.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.12 : 12.86 = 12.86 : x
  2. Step 2: Convert to fraction form
    9.12/12.86 = 12.86/x
  3. Step 3: Cross multiply
    9.12x = 12.86 × 12.86
  4. Step 4: Simplify right side
    9.12x = 165.34
  5. Step 5: Solve for x
    x = 165.34/9.12
  6. Step 6: Final answer
    x = 18.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.