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Finding the Third Proportional to 8.12 and 11.76

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Solution

The third proportional to 8.12 and 11.76 is: 17.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.12 : 11.76 = 11.76 : x
  2. Step 2: Convert to fraction form
    8.12/11.76 = 11.76/x
  3. Step 3: Cross multiply
    8.12x = 11.76 × 11.76
  4. Step 4: Simplify right side
    8.12x = 138.29
  5. Step 5: Solve for x
    x = 138.29/8.12
  6. Step 6: Final answer
    x = 17.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.