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Finding the Third Proportional to 77.41 and 102.73

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Solution

The third proportional to 77.41 and 102.73 is: 136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.41 : 102.73 = 102.73 : x
  2. Step 2: Convert to fraction form
    77.41/102.73 = 102.73/x
  3. Step 3: Cross multiply
    77.41x = 102.73 × 102.73
  4. Step 4: Simplify right side
    77.41x = 10,552.75
  5. Step 5: Solve for x
    x = 10,552.75/77.41
  6. Step 6: Final answer
    x = 136.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.