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Finding the Third Proportional to 126.19 and 271.78

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Solution

The third proportional to 126.19 and 271.78 is: 585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.19 : 271.78 = 271.78 : x
  2. Step 2: Convert to fraction form
    126.19/271.78 = 271.78/x
  3. Step 3: Cross multiply
    126.19x = 271.78 × 271.78
  4. Step 4: Simplify right side
    126.19x = 73,865.05
  5. Step 5: Solve for x
    x = 73,865.05/126.19
  6. Step 6: Final answer
    x = 585.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.