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Finding the Third Proportional to 380.44 and 806.44

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Solution

The third proportional to 380.44 and 806.44 is: 1,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.44 : 806.44 = 806.44 : x
  2. Step 2: Convert to fraction form
    380.44/806.44 = 806.44/x
  3. Step 3: Cross multiply
    380.44x = 806.44 × 806.44
  4. Step 4: Simplify right side
    380.44x = 650,341.44
  5. Step 5: Solve for x
    x = 650,341.44/380.44
  6. Step 6: Final answer
    x = 1,709.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.