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Finding the Third Proportional to 126.38 and 266.13

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Solution

The third proportional to 126.38 and 266.13 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.38 : 266.13 = 266.13 : x
  2. Step 2: Convert to fraction form
    126.38/266.13 = 266.13/x
  3. Step 3: Cross multiply
    126.38x = 266.13 × 266.13
  4. Step 4: Simplify right side
    126.38x = 70,822.52
  5. Step 5: Solve for x
    x = 70,822.52/126.38
  6. Step 6: Final answer
    x = 560.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.