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Finding the Third Proportional to 2,019 and 3,983

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Solution

The third proportional to 2,019 and 3,983 is: 7,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019 : 3,983 = 3,983 : x
  2. Step 2: Convert to fraction form
    2,019/3,983 = 3,983/x
  3. Step 3: Cross multiply
    2,019x = 3,983 × 3,983
  4. Step 4: Simplify right side
    2,019x = 15,864,289
  5. Step 5: Solve for x
    x = 15,864,289/2,019
  6. Step 6: Final answer
    x = 7,857.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.