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Finding the Third Proportional to 57.80 and 124.45

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Solution

The third proportional to 57.80 and 124.45 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.80 : 124.45 = 124.45 : x
  2. Step 2: Convert to fraction form
    57.80/124.45 = 124.45/x
  3. Step 3: Cross multiply
    57.80x = 124.45 × 124.45
  4. Step 4: Simplify right side
    57.80x = 15,488.58
  5. Step 5: Solve for x
    x = 15,488.58/57.80
  6. Step 6: Final answer
    x = 267.98

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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.