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Finding the Third Proportional to 303,812 and 664,830

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Solution

The third proportional to 303,812 and 664,830 is: 1,454,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,812 : 664,830 = 664,830 : x
  2. Step 2: Convert to fraction form
    303,812/664,830 = 664,830/x
  3. Step 3: Cross multiply
    303,812x = 664,830 × 664,830
  4. Step 4: Simplify right side
    303,812x = 441,998,928,900
  5. Step 5: Solve for x
    x = 441,998,928,900/303,812
  6. Step 6: Final answer
    x = 1,454,843.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.