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Finding the Third Proportional to 57.07 and 124.15

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Solution

The third proportional to 57.07 and 124.15 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 124.15 = 124.15 : x
  2. Step 2: Convert to fraction form
    57.07/124.15 = 124.15/x
  3. Step 3: Cross multiply
    57.07x = 124.15 × 124.15
  4. Step 4: Simplify right side
    57.07x = 15,412.44
  5. Step 5: Solve for x
    x = 15,412.44/57.07
  6. Step 6: Final answer
    x = 270.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.