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Finding the Third Proportional to 329,019 and 683,874

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Solution

The third proportional to 329,019 and 683,874 is: 1,421,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,019 : 683,874 = 683,874 : x
  2. Step 2: Convert to fraction form
    329,019/683,874 = 683,874/x
  3. Step 3: Cross multiply
    329,019x = 683,874 × 683,874
  4. Step 4: Simplify right side
    329,019x = 467,683,647,876
  5. Step 5: Solve for x
    x = 467,683,647,876/329,019
  6. Step 6: Final answer
    x = 1,421,448.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.