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Finding the Third Proportional to 394.25 and 820.88

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Solution

The third proportional to 394.25 and 820.88 is: 1,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.25 : 820.88 = 820.88 : x
  2. Step 2: Convert to fraction form
    394.25/820.88 = 820.88/x
  3. Step 3: Cross multiply
    394.25x = 820.88 × 820.88
  4. Step 4: Simplify right side
    394.25x = 673,835.77
  5. Step 5: Solve for x
    x = 673,835.77/394.25
  6. Step 6: Final answer
    x = 1,709.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.