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Finding the Third Proportional to 380.38 and 819.38

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Solution

The third proportional to 380.38 and 819.38 is: 1,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 819.38 = 819.38 : x
  2. Step 2: Convert to fraction form
    380.38/819.38 = 819.38/x
  3. Step 3: Cross multiply
    380.38x = 819.38 × 819.38
  4. Step 4: Simplify right side
    380.38x = 671,375.39
  5. Step 5: Solve for x
    x = 671,375.39/380.38
  6. Step 6: Final answer
    x = 1,765.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.