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Finding the Third Proportional to 445,631 and 668,338

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Solution

The third proportional to 445,631 and 668,338 is: 1,002,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,631 : 668,338 = 668,338 : x
  2. Step 2: Convert to fraction form
    445,631/668,338 = 668,338/x
  3. Step 3: Cross multiply
    445,631x = 668,338 × 668,338
  4. Step 4: Simplify right side
    445,631x = 446,675,682,244
  5. Step 5: Solve for x
    x = 446,675,682,244/445,631
  6. Step 6: Final answer
    x = 1,002,344.28

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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.