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Finding the Third Proportional to 200,637 and 275,121.56

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Solution

The third proportional to 200,637 and 275,121.56 is: 377,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,637 : 275,121.56 = 275,121.56 : x
  2. Step 2: Convert to fraction form
    200,637/275,121.56 = 275,121.56/x
  3. Step 3: Cross multiply
    200,637x = 275,121.56 × 275,121.56
  4. Step 4: Simplify right side
    200,637x = 75,691,874,152.44
  5. Step 5: Solve for x
    x = 75,691,874,152.44/200,637
  6. Step 6: Final answer
    x = 377,257.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.