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Finding the Third Proportional to 291,839 and 394,449

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Solution

The third proportional to 291,839 and 394,449 is: 533,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,839 : 394,449 = 394,449 : x
  2. Step 2: Convert to fraction form
    291,839/394,449 = 394,449/x
  3. Step 3: Cross multiply
    291,839x = 394,449 × 394,449
  4. Step 4: Simplify right side
    291,839x = 155,590,013,601
  5. Step 5: Solve for x
    x = 155,590,013,601/291,839
  6. Step 6: Final answer
    x = 533,136.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.