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Finding the Third Proportional to 383,832 and 892,296

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Solution

The third proportional to 383,832 and 892,296 is: 2,074,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,832 : 892,296 = 892,296 : x
  2. Step 2: Convert to fraction form
    383,832/892,296 = 892,296/x
  3. Step 3: Cross multiply
    383,832x = 892,296 × 892,296
  4. Step 4: Simplify right side
    383,832x = 796,192,151,616
  5. Step 5: Solve for x
    x = 796,192,151,616/383,832
  6. Step 6: Final answer
    x = 2,074,324.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.