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Finding the Third Proportional to 297,002 and 393,828

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Solution

The third proportional to 297,002 and 393,828 is: 522,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002 : 393,828 = 393,828 : x
  2. Step 2: Convert to fraction form
    297,002/393,828 = 393,828/x
  3. Step 3: Cross multiply
    297,002x = 393,828 × 393,828
  4. Step 4: Simplify right side
    297,002x = 155,100,493,584
  5. Step 5: Solve for x
    x = 155,100,493,584/297,002
  6. Step 6: Final answer
    x = 522,220.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.