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Finding the Third Proportional to 126.28 and 279.47

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Solution

The third proportional to 126.28 and 279.47 is: 618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.28 : 279.47 = 279.47 : x
  2. Step 2: Convert to fraction form
    126.28/279.47 = 279.47/x
  3. Step 3: Cross multiply
    126.28x = 279.47 × 279.47
  4. Step 4: Simplify right side
    126.28x = 78,102.78
  5. Step 5: Solve for x
    x = 78,102.78/126.28
  6. Step 6: Final answer
    x = 618.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.