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Finding the Third Proportional to 382,419 and 789,399

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Solution

The third proportional to 382,419 and 789,399 is: 1,629,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,419 : 789,399 = 789,399 : x
  2. Step 2: Convert to fraction form
    382,419/789,399 = 789,399/x
  3. Step 3: Cross multiply
    382,419x = 789,399 × 789,399
  4. Step 4: Simplify right side
    382,419x = 623,150,781,201
  5. Step 5: Solve for x
    x = 623,150,781,201/382,419
  6. Step 6: Final answer
    x = 1,629,497.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.