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Finding the Third Proportional to 57.75 and 82.25

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Solution

The third proportional to 57.75 and 82.25 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 82.25 = 82.25 : x
  2. Step 2: Convert to fraction form
    57.75/82.25 = 82.25/x
  3. Step 3: Cross multiply
    57.75x = 82.25 × 82.25
  4. Step 4: Simplify right side
    57.75x = 6,765.06
  5. Step 5: Solve for x
    x = 6,765.06/57.75
  6. Step 6: Final answer
    x = 117.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.