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Finding the Third Proportional to 8.58 and 12.41

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Solution

The third proportional to 8.58 and 12.41 is: 17.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.58 : 12.41 = 12.41 : x
  2. Step 2: Convert to fraction form
    8.58/12.41 = 12.41/x
  3. Step 3: Cross multiply
    8.58x = 12.41 × 12.41
  4. Step 4: Simplify right side
    8.58x = 154.13
  5. Step 5: Solve for x
    x = 154.13/8.58
  6. Step 6: Final answer
    x = 17.97

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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.