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Finding the Third Proportional to 127.97 and 276.42

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Solution

The third proportional to 127.97 and 276.42 is: 597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.97 : 276.42 = 276.42 : x
  2. Step 2: Convert to fraction form
    127.97/276.42 = 276.42/x
  3. Step 3: Cross multiply
    127.97x = 276.42 × 276.42
  4. Step 4: Simplify right side
    127.97x = 76,409.05
  5. Step 5: Solve for x
    x = 76,409.05/127.97
  6. Step 6: Final answer
    x = 597.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.