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Finding the Third Proportional to 76.78 and 88.17

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Solution

The third proportional to 76.78 and 88.17 is: 101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 88.17 = 88.17 : x
  2. Step 2: Convert to fraction form
    76.78/88.17 = 88.17/x
  3. Step 3: Cross multiply
    76.78x = 88.17 × 88.17
  4. Step 4: Simplify right side
    76.78x = 7,774.28
  5. Step 5: Solve for x
    x = 7,774.28/76.78
  6. Step 6: Final answer
    x = 101.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.