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Finding the Third Proportional to 126.36 and 271.24

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Solution

The third proportional to 126.36 and 271.24 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 271.24 = 271.24 : x
  2. Step 2: Convert to fraction form
    126.36/271.24 = 271.24/x
  3. Step 3: Cross multiply
    126.36x = 271.24 × 271.24
  4. Step 4: Simplify right side
    126.36x = 73,570.73
  5. Step 5: Solve for x
    x = 73,570.73/126.36
  6. Step 6: Final answer
    x = 582.21

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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.