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Finding the Third Proportional to 800,832 and 1,198,872

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Solution

The third proportional to 800,832 and 1,198,872 is: 1,794,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,832 : 1,198,872 = 1,198,872 : x
  2. Step 2: Convert to fraction form
    800,832/1,198,872 = 1,198,872/x
  3. Step 3: Cross multiply
    800,832x = 1,198,872 × 1,198,872
  4. Step 4: Simplify right side
    800,832x = 1,437,294,072,384
  5. Step 5: Solve for x
    x = 1,437,294,072,384/800,832
  6. Step 6: Final answer
    x = 1,794,751.05

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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.