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Finding the Third Proportional to 76.75 and 102.75

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Solution

The third proportional to 76.75 and 102.75 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 102.75 = 102.75 : x
  2. Step 2: Convert to fraction form
    76.75/102.75 = 102.75/x
  3. Step 3: Cross multiply
    76.75x = 102.75 × 102.75
  4. Step 4: Simplify right side
    76.75x = 10,557.56
  5. Step 5: Solve for x
    x = 10,557.56/76.75
  6. Step 6: Final answer
    x = 137.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.