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Finding the Third Proportional to 126.11 and 299.92

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Solution

The third proportional to 126.11 and 299.92 is: 713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.11 : 299.92 = 299.92 : x
  2. Step 2: Convert to fraction form
    126.11/299.92 = 299.92/x
  3. Step 3: Cross multiply
    126.11x = 299.92 × 299.92
  4. Step 4: Simplify right side
    126.11x = 89,950.79
  5. Step 5: Solve for x
    x = 89,950.79/126.11
  6. Step 6: Final answer
    x = 713.30

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.