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Finding the Third Proportional to 57.56 and 80.81

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Solution

The third proportional to 57.56 and 80.81 is: 113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.56 : 80.81 = 80.81 : x
  2. Step 2: Convert to fraction form
    57.56/80.81 = 80.81/x
  3. Step 3: Cross multiply
    57.56x = 80.81 × 80.81
  4. Step 4: Simplify right side
    57.56x = 6,530.66
  5. Step 5: Solve for x
    x = 6,530.66/57.56
  6. Step 6: Final answer
    x = 113.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.