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Finding the Third Proportional to 126.44 and 268.09

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Solution

The third proportional to 126.44 and 268.09 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.44 : 268.09 = 268.09 : x
  2. Step 2: Convert to fraction form
    126.44/268.09 = 268.09/x
  3. Step 3: Cross multiply
    126.44x = 268.09 × 268.09
  4. Step 4: Simplify right side
    126.44x = 71,874.26
  5. Step 5: Solve for x
    x = 71,874.26/126.44
  6. Step 6: Final answer
    x = 568.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.