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Finding the Third Proportional to 57.66 and 126.56

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Solution

The third proportional to 57.66 and 126.56 is: 277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 126.56 = 126.56 : x
  2. Step 2: Convert to fraction form
    57.66/126.56 = 126.56/x
  3. Step 3: Cross multiply
    57.66x = 126.56 × 126.56
  4. Step 4: Simplify right side
    57.66x = 16,018.07
  5. Step 5: Solve for x
    x = 16,018.07/57.66
  6. Step 6: Final answer
    x = 277.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.