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Finding the Third Proportional to 72.75 and 115.97

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Solution

The third proportional to 72.75 and 115.97 is: 184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.75 : 115.97 = 115.97 : x
  2. Step 2: Convert to fraction form
    72.75/115.97 = 115.97/x
  3. Step 3: Cross multiply
    72.75x = 115.97 × 115.97
  4. Step 4: Simplify right side
    72.75x = 13,448.75
  5. Step 5: Solve for x
    x = 13,448.75/72.75
  6. Step 6: Final answer
    x = 184.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.