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Finding the Third Proportional to 3,724.73 and 8,056.97

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Solution

The third proportional to 3,724.73 and 8,056.97 is: 17,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.73 : 8,056.97 = 8,056.97 : x
  2. Step 2: Convert to fraction form
    3,724.73/8,056.97 = 8,056.97/x
  3. Step 3: Cross multiply
    3,724.73x = 8,056.97 × 8,056.97
  4. Step 4: Simplify right side
    3,724.73x = 64,914,745.44
  5. Step 5: Solve for x
    x = 64,914,745.44/3,724.73
  6. Step 6: Final answer
    x = 17,428.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.