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Finding the Third Proportional to 787.75 and 963.25

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Solution

The third proportional to 787.75 and 963.25 is: 1,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.75 : 963.25 = 963.25 : x
  2. Step 2: Convert to fraction form
    787.75/963.25 = 963.25/x
  3. Step 3: Cross multiply
    787.75x = 963.25 × 963.25
  4. Step 4: Simplify right side
    787.75x = 927,850.56
  5. Step 5: Solve for x
    x = 927,850.56/787.75
  6. Step 6: Final answer
    x = 1,177.85

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.