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Finding the Third Proportional to 259,208 and 388,812

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Solution

The third proportional to 259,208 and 388,812 is: 583,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,208 : 388,812 = 388,812 : x
  2. Step 2: Convert to fraction form
    259,208/388,812 = 388,812/x
  3. Step 3: Cross multiply
    259,208x = 388,812 × 388,812
  4. Step 4: Simplify right side
    259,208x = 151,174,771,344
  5. Step 5: Solve for x
    x = 151,174,771,344/259,208
  6. Step 6: Final answer
    x = 583,218

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.