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Finding the Third Proportional to 380.34 and 825.84

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Solution

The third proportional to 380.34 and 825.84 is: 1,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 825.84 = 825.84 : x
  2. Step 2: Convert to fraction form
    380.34/825.84 = 825.84/x
  3. Step 3: Cross multiply
    380.34x = 825.84 × 825.84
  4. Step 4: Simplify right side
    380.34x = 682,017.90
  5. Step 5: Solve for x
    x = 682,017.90/380.34
  6. Step 6: Final answer
    x = 1,793.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.