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Finding the Third Proportional to 279,696 and 419,448

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Solution

The third proportional to 279,696 and 419,448 is: 629,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,696 : 419,448 = 419,448 : x
  2. Step 2: Convert to fraction form
    279,696/419,448 = 419,448/x
  3. Step 3: Cross multiply
    279,696x = 419,448 × 419,448
  4. Step 4: Simplify right side
    279,696x = 175,936,624,704
  5. Step 5: Solve for x
    x = 175,936,624,704/279,696
  6. Step 6: Final answer
    x = 629,028.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.