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Finding the Third Proportional to 126.74 and 272.47

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Solution

The third proportional to 126.74 and 272.47 is: 585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.74 : 272.47 = 272.47 : x
  2. Step 2: Convert to fraction form
    126.74/272.47 = 272.47/x
  3. Step 3: Cross multiply
    126.74x = 272.47 × 272.47
  4. Step 4: Simplify right side
    126.74x = 74,237.36
  5. Step 5: Solve for x
    x = 74,237.36/126.74
  6. Step 6: Final answer
    x = 585.74

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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.