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Finding the Third Proportional to 126.75 and 272.34

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Solution

The third proportional to 126.75 and 272.34 is: 585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 272.34 = 272.34 : x
  2. Step 2: Convert to fraction form
    126.75/272.34 = 272.34/x
  3. Step 3: Cross multiply
    126.75x = 272.34 × 272.34
  4. Step 4: Simplify right side
    126.75x = 74,171.12
  5. Step 5: Solve for x
    x = 74,171.12/126.75
  6. Step 6: Final answer
    x = 585.18

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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.