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Finding the Third Proportional to 57.75 and 83.81

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Solution

The third proportional to 57.75 and 83.81 is: 121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 83.81 = 83.81 : x
  2. Step 2: Convert to fraction form
    57.75/83.81 = 83.81/x
  3. Step 3: Cross multiply
    57.75x = 83.81 × 83.81
  4. Step 4: Simplify right side
    57.75x = 7,024.54
  5. Step 5: Solve for x
    x = 7,024.54/57.75
  6. Step 6: Final answer
    x = 121.64

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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.