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Finding the Third Proportional to 76.97 and 121.73

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Solution

The third proportional to 76.97 and 121.73 is: 192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 121.73 = 121.73 : x
  2. Step 2: Convert to fraction form
    76.97/121.73 = 121.73/x
  3. Step 3: Cross multiply
    76.97x = 121.73 × 121.73
  4. Step 4: Simplify right side
    76.97x = 14,819.26
  5. Step 5: Solve for x
    x = 14,819.26/76.97
  6. Step 6: Final answer
    x = 192.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.