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Finding the Third Proportional to 56.57 and 124.49

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Solution

The third proportional to 56.57 and 124.49 is: 273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.57 : 124.49 = 124.49 : x
  2. Step 2: Convert to fraction form
    56.57/124.49 = 124.49/x
  3. Step 3: Cross multiply
    56.57x = 124.49 × 124.49
  4. Step 4: Simplify right side
    56.57x = 15,497.33
  5. Step 5: Solve for x
    x = 15,497.33/56.57
  6. Step 6: Final answer
    x = 273.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.