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Finding the Third Proportional to 422,907.75 and 647,757

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Solution

The third proportional to 422,907.75 and 647,757 is: 992,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,907.75 : 647,757 = 647,757 : x
  2. Step 2: Convert to fraction form
    422,907.75/647,757 = 647,757/x
  3. Step 3: Cross multiply
    422,907.75x = 647,757 × 647,757
  4. Step 4: Simplify right side
    422,907.75x = 419,589,131,049
  5. Step 5: Solve for x
    x = 419,589,131,049/422,907.75
  6. Step 6: Final answer
    x = 992,152.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.