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Finding the Third Proportional to 155,198 and 330,748

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Solution

The third proportional to 155,198 and 330,748 is: 704,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,198 : 330,748 = 330,748 : x
  2. Step 2: Convert to fraction form
    155,198/330,748 = 330,748/x
  3. Step 3: Cross multiply
    155,198x = 330,748 × 330,748
  4. Step 4: Simplify right side
    155,198x = 109,394,239,504
  5. Step 5: Solve for x
    x = 109,394,239,504/155,198
  6. Step 6: Final answer
    x = 704,868.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.