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Finding the Third Proportional to 57.97 and 127.64

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Solution

The third proportional to 57.97 and 127.64 is: 281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.97 : 127.64 = 127.64 : x
  2. Step 2: Convert to fraction form
    57.97/127.64 = 127.64/x
  3. Step 3: Cross multiply
    57.97x = 127.64 × 127.64
  4. Step 4: Simplify right side
    57.97x = 16,292.98
  5. Step 5: Solve for x
    x = 16,292.98/57.97
  6. Step 6: Final answer
    x = 281.08

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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.