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Finding the Third Proportional to 263,138 and 408,189

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Solution

The third proportional to 263,138 and 408,189 is: 633,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138 : 408,189 = 408,189 : x
  2. Step 2: Convert to fraction form
    263,138/408,189 = 408,189/x
  3. Step 3: Cross multiply
    263,138x = 408,189 × 408,189
  4. Step 4: Simplify right side
    263,138x = 166,618,259,721
  5. Step 5: Solve for x
    x = 166,618,259,721/263,138
  6. Step 6: Final answer
    x = 633,197.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.