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Finding the Third Proportional to 319,498 and 350,218

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Solution

The third proportional to 319,498 and 350,218 is: 383,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,498 : 350,218 = 350,218 : x
  2. Step 2: Convert to fraction form
    319,498/350,218 = 350,218/x
  3. Step 3: Cross multiply
    319,498x = 350,218 × 350,218
  4. Step 4: Simplify right side
    319,498x = 122,652,647,524
  5. Step 5: Solve for x
    x = 122,652,647,524/319,498
  6. Step 6: Final answer
    x = 383,891.75

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.