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Finding the Third Proportional to 259,620 and 394,302

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Solution

The third proportional to 259,620 and 394,302 is: 598,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,620 : 394,302 = 394,302 : x
  2. Step 2: Convert to fraction form
    259,620/394,302 = 394,302/x
  3. Step 3: Cross multiply
    259,620x = 394,302 × 394,302
  4. Step 4: Simplify right side
    259,620x = 155,474,067,204
  5. Step 5: Solve for x
    x = 155,474,067,204/259,620
  6. Step 6: Final answer
    x = 598,852.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.