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Finding the Third Proportional to 57.88 and 81.41

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Solution

The third proportional to 57.88 and 81.41 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.88 : 81.41 = 81.41 : x
  2. Step 2: Convert to fraction form
    57.88/81.41 = 81.41/x
  3. Step 3: Cross multiply
    57.88x = 81.41 × 81.41
  4. Step 4: Simplify right side
    57.88x = 6,626.98
  5. Step 5: Solve for x
    x = 6,626.98/57.88
  6. Step 6: Final answer
    x = 114.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.