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Finding the Third Proportional to 76 and 87.25

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Solution

The third proportional to 76 and 87.25 is: 100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 87.25 = 87.25 : x
  2. Step 2: Convert to fraction form
    76/87.25 = 87.25/x
  3. Step 3: Cross multiply
    76x = 87.25 × 87.25
  4. Step 4: Simplify right side
    76x = 7,612.56
  5. Step 5: Solve for x
    x = 7,612.56/76
  6. Step 6: Final answer
    x = 100.17

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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.