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Finding the Third Proportional to 382.31 and 834.13

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Solution

The third proportional to 382.31 and 834.13 is: 1,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.31 : 834.13 = 834.13 : x
  2. Step 2: Convert to fraction form
    382.31/834.13 = 834.13/x
  3. Step 3: Cross multiply
    382.31x = 834.13 × 834.13
  4. Step 4: Simplify right side
    382.31x = 695,764.52
  5. Step 5: Solve for x
    x = 695,764.52/382.31
  6. Step 6: Final answer
    x = 1,819.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.