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Finding the Third Proportional to 397,728 and 775,296

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Solution

The third proportional to 397,728 and 775,296 is: 1,511,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,728 : 775,296 = 775,296 : x
  2. Step 2: Convert to fraction form
    397,728/775,296 = 775,296/x
  3. Step 3: Cross multiply
    397,728x = 775,296 × 775,296
  4. Step 4: Simplify right side
    397,728x = 601,083,887,616
  5. Step 5: Solve for x
    x = 601,083,887,616/397,728
  6. Step 6: Final answer
    x = 1,511,293.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.