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Finding the Third Proportional to 57.25 and 83

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Solution

The third proportional to 57.25 and 83 is: 120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.25 : 83 = 83 : x
  2. Step 2: Convert to fraction form
    57.25/83 = 83/x
  3. Step 3: Cross multiply
    57.25x = 83 × 83
  4. Step 4: Simplify right side
    57.25x = 6,889
  5. Step 5: Solve for x
    x = 6,889/57.25
  6. Step 6: Final answer
    x = 120.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.