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Finding the Third Proportional to 383,067 and 777,078

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Solution

The third proportional to 383,067 and 777,078 is: 1,576,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,067 : 777,078 = 777,078 : x
  2. Step 2: Convert to fraction form
    383,067/777,078 = 777,078/x
  3. Step 3: Cross multiply
    383,067x = 777,078 × 777,078
  4. Step 4: Simplify right side
    383,067x = 603,850,218,084
  5. Step 5: Solve for x
    x = 603,850,218,084/383,067
  6. Step 6: Final answer
    x = 1,576,356.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.