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Finding the Third Proportional to 3,787.75 and 7,764.25

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Solution

The third proportional to 3,787.75 and 7,764.25 is: 15,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.75 : 7,764.25 = 7,764.25 : x
  2. Step 2: Convert to fraction form
    3,787.75/7,764.25 = 7,764.25/x
  3. Step 3: Cross multiply
    3,787.75x = 7,764.25 × 7,764.25
  4. Step 4: Simplify right side
    3,787.75x = 60,283,578.06
  5. Step 5: Solve for x
    x = 60,283,578.06/3,787.75
  6. Step 6: Final answer
    x = 15,915.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.