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Finding the Third Proportional to 41 and 106.88

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Solution

The third proportional to 41 and 106.88 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41 : 106.88 = 106.88 : x
  2. Step 2: Convert to fraction form
    41/106.88 = 106.88/x
  3. Step 3: Cross multiply
    41x = 106.88 × 106.88
  4. Step 4: Simplify right side
    41x = 11,422.27
  5. Step 5: Solve for x
    x = 11,422.27/41
  6. Step 6: Final answer
    x = 278.59

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.