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Finding the Third Proportional to 57.69 and 115.75

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Solution

The third proportional to 57.69 and 115.75 is: 232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 115.75 = 115.75 : x
  2. Step 2: Convert to fraction form
    57.69/115.75 = 115.75/x
  3. Step 3: Cross multiply
    57.69x = 115.75 × 115.75
  4. Step 4: Simplify right side
    57.69x = 13,398.06
  5. Step 5: Solve for x
    x = 13,398.06/57.69
  6. Step 6: Final answer
    x = 232.25

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.