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Finding the Third Proportional to 126.88 and 278.50

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Solution

The third proportional to 126.88 and 278.50 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.88 : 278.50 = 278.50 : x
  2. Step 2: Convert to fraction form
    126.88/278.50 = 278.50/x
  3. Step 3: Cross multiply
    126.88x = 278.50 × 278.50
  4. Step 4: Simplify right side
    126.88x = 77,562.25
  5. Step 5: Solve for x
    x = 77,562.25/126.88
  6. Step 6: Final answer
    x = 611.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.