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Finding the Third Proportional to 90,488 and 198,823

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Solution

The third proportional to 90,488 and 198,823 is: 436,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,488 : 198,823 = 198,823 : x
  2. Step 2: Convert to fraction form
    90,488/198,823 = 198,823/x
  3. Step 3: Cross multiply
    90,488x = 198,823 × 198,823
  4. Step 4: Simplify right side
    90,488x = 39,530,585,329
  5. Step 5: Solve for x
    x = 39,530,585,329/90,488
  6. Step 6: Final answer
    x = 436,859.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.