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Finding the Third Proportional to 819.75 and 1,198.13

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Solution

The third proportional to 819.75 and 1,198.13 is: 1,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.75 : 1,198.13 = 1,198.13 : x
  2. Step 2: Convert to fraction form
    819.75/1,198.13 = 1,198.13/x
  3. Step 3: Cross multiply
    819.75x = 1,198.13 × 1,198.13
  4. Step 4: Simplify right side
    819.75x = 1,435,503.52
  5. Step 5: Solve for x
    x = 1,435,503.52/819.75
  6. Step 6: Final answer
    x = 1,751.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.