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Finding the Third Proportional to 126.11 and 272.16

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Solution

The third proportional to 126.11 and 272.16 is: 587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.11 : 272.16 = 272.16 : x
  2. Step 2: Convert to fraction form
    126.11/272.16 = 272.16/x
  3. Step 3: Cross multiply
    126.11x = 272.16 × 272.16
  4. Step 4: Simplify right side
    126.11x = 74,072.21
  5. Step 5: Solve for x
    x = 74,072.21/126.11
  6. Step 6: Final answer
    x = 587.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.