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Finding the Third Proportional to 787.78 and 1,729.41

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Solution

The third proportional to 787.78 and 1,729.41 is: 3,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.78 : 1,729.41 = 1,729.41 : x
  2. Step 2: Convert to fraction form
    787.78/1,729.41 = 1,729.41/x
  3. Step 3: Cross multiply
    787.78x = 1,729.41 × 1,729.41
  4. Step 4: Simplify right side
    787.78x = 2,990,845.98
  5. Step 5: Solve for x
    x = 2,990,845.98/787.78
  6. Step 6: Final answer
    x = 3,796.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.