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Finding the Third Proportional to 8.61 and 13.39

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Solution

The third proportional to 8.61 and 13.39 is: 20.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.61 : 13.39 = 13.39 : x
  2. Step 2: Convert to fraction form
    8.61/13.39 = 13.39/x
  3. Step 3: Cross multiply
    8.61x = 13.39 × 13.39
  4. Step 4: Simplify right side
    8.61x = 179.41
  5. Step 5: Solve for x
    x = 179.41/8.61
  6. Step 6: Final answer
    x = 20.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.