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Finding the Third Proportional to 44.20 and 57.76

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Solution

The third proportional to 44.20 and 57.76 is: 75.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.20 : 57.76 = 57.76 : x
  2. Step 2: Convert to fraction form
    44.20/57.76 = 57.76/x
  3. Step 3: Cross multiply
    44.20x = 57.76 × 57.76
  4. Step 4: Simplify right side
    44.20x = 3,335.91
  5. Step 5: Solve for x
    x = 3,335.91/44.20
  6. Step 6: Final answer
    x = 75.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.