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Finding the Third Proportional to 200,626 and 445,542

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Solution

The third proportional to 200,626 and 445,542 is: 989,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,626 : 445,542 = 445,542 : x
  2. Step 2: Convert to fraction form
    200,626/445,542 = 445,542/x
  3. Step 3: Cross multiply
    200,626x = 445,542 × 445,542
  4. Step 4: Simplify right side
    200,626x = 198,507,673,764
  5. Step 5: Solve for x
    x = 198,507,673,764/200,626
  6. Step 6: Final answer
    x = 989,441.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.