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Finding the Third Proportional to 200,872 and 275,439

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Solution

The third proportional to 200,872 and 275,439 is: 377,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,872 : 275,439 = 275,439 : x
  2. Step 2: Convert to fraction form
    200,872/275,439 = 275,439/x
  3. Step 3: Cross multiply
    200,872x = 275,439 × 275,439
  4. Step 4: Simplify right side
    200,872x = 75,866,642,721
  5. Step 5: Solve for x
    x = 75,866,642,721/200,872
  6. Step 6: Final answer
    x = 377,686.50

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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.