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Finding the Third Proportional to 8.12 and 10.66

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Solution

The third proportional to 8.12 and 10.66 is: 13.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.12 : 10.66 = 10.66 : x
  2. Step 2: Convert to fraction form
    8.12/10.66 = 10.66/x
  3. Step 3: Cross multiply
    8.12x = 10.66 × 10.66
  4. Step 4: Simplify right side
    8.12x = 113.64
  5. Step 5: Solve for x
    x = 113.64/8.12
  6. Step 6: Final answer
    x = 13.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.