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Finding the Third Proportional to 126.56 and 276.94

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Solution

The third proportional to 126.56 and 276.94 is: 605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.56 : 276.94 = 276.94 : x
  2. Step 2: Convert to fraction form
    126.56/276.94 = 276.94/x
  3. Step 3: Cross multiply
    126.56x = 276.94 × 276.94
  4. Step 4: Simplify right side
    126.56x = 76,694.38
  5. Step 5: Solve for x
    x = 76,694.38/126.56
  6. Step 6: Final answer
    x = 605.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.