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Finding the Third Proportional to 57.49 and 77.48

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Solution

The third proportional to 57.49 and 77.48 is: 104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.49 : 77.48 = 77.48 : x
  2. Step 2: Convert to fraction form
    57.49/77.48 = 77.48/x
  3. Step 3: Cross multiply
    57.49x = 77.48 × 77.48
  4. Step 4: Simplify right side
    57.49x = 6,003.83
  5. Step 5: Solve for x
    x = 6,003.83/57.49
  6. Step 6: Final answer
    x = 104.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.