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Finding the Third Proportional to 138,338 and 200,163

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Solution

The third proportional to 138,338 and 200,163 is: 289,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,338 : 200,163 = 200,163 : x
  2. Step 2: Convert to fraction form
    138,338/200,163 = 200,163/x
  3. Step 3: Cross multiply
    138,338x = 200,163 × 200,163
  4. Step 4: Simplify right side
    138,338x = 40,065,226,569
  5. Step 5: Solve for x
    x = 40,065,226,569/138,338
  6. Step 6: Final answer
    x = 289,618.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.