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Finding the Third Proportional to 382.13 and 825.09

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Solution

The third proportional to 382.13 and 825.09 is: 1,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 825.09 = 825.09 : x
  2. Step 2: Convert to fraction form
    382.13/825.09 = 825.09/x
  3. Step 3: Cross multiply
    382.13x = 825.09 × 825.09
  4. Step 4: Simplify right side
    382.13x = 680,779.70
  5. Step 5: Solve for x
    x = 680,779.70/382.13
  6. Step 6: Final answer
    x = 1,781.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.