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Finding the Third Proportional to 77.25 and 83.25

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Solution

The third proportional to 77.25 and 83.25 is: 89.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 83.25 = 83.25 : x
  2. Step 2: Convert to fraction form
    77.25/83.25 = 83.25/x
  3. Step 3: Cross multiply
    77.25x = 83.25 × 83.25
  4. Step 4: Simplify right side
    77.25x = 6,930.56
  5. Step 5: Solve for x
    x = 6,930.56/77.25
  6. Step 6: Final answer
    x = 89.72

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.