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Finding the Third Proportional to 126.56 and 272.44

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Solution

The third proportional to 126.56 and 272.44 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.56 : 272.44 = 272.44 : x
  2. Step 2: Convert to fraction form
    126.56/272.44 = 272.44/x
  3. Step 3: Cross multiply
    126.56x = 272.44 × 272.44
  4. Step 4: Simplify right side
    126.56x = 74,222.19
  5. Step 5: Solve for x
    x = 74,222.19/126.56
  6. Step 6: Final answer
    x = 586.45

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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.