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Finding the Third Proportional to 819.38 and 1,660.69

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Solution

The third proportional to 819.38 and 1,660.69 is: 3,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.38 : 1,660.69 = 1,660.69 : x
  2. Step 2: Convert to fraction form
    819.38/1,660.69 = 1,660.69/x
  3. Step 3: Cross multiply
    819.38x = 1,660.69 × 1,660.69
  4. Step 4: Simplify right side
    819.38x = 2,757,882.97
  5. Step 5: Solve for x
    x = 2,757,882.97/819.38
  6. Step 6: Final answer
    x = 3,365.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.