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Finding the Third Proportional to 18.61 and 40.41

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Solution

The third proportional to 18.61 and 40.41 is: 87.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.61 : 40.41 = 40.41 : x
  2. Step 2: Convert to fraction form
    18.61/40.41 = 40.41/x
  3. Step 3: Cross multiply
    18.61x = 40.41 × 40.41
  4. Step 4: Simplify right side
    18.61x = 1,632.67
  5. Step 5: Solve for x
    x = 1,632.67/18.61
  6. Step 6: Final answer
    x = 87.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.