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Finding the Third Proportional to 126.66 and 262.97

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Solution

The third proportional to 126.66 and 262.97 is: 545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.66 : 262.97 = 262.97 : x
  2. Step 2: Convert to fraction form
    126.66/262.97 = 262.97/x
  3. Step 3: Cross multiply
    126.66x = 262.97 × 262.97
  4. Step 4: Simplify right side
    126.66x = 69,152.56
  5. Step 5: Solve for x
    x = 69,152.56/126.66
  6. Step 6: Final answer
    x = 545.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.