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Finding the Third Proportional to 409.38 and 853.25

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Solution

The third proportional to 409.38 and 853.25 is: 1,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 853.25 = 853.25 : x
  2. Step 2: Convert to fraction form
    409.38/853.25 = 853.25/x
  3. Step 3: Cross multiply
    409.38x = 853.25 × 853.25
  4. Step 4: Simplify right side
    409.38x = 728,035.56
  5. Step 5: Solve for x
    x = 728,035.56/409.38
  6. Step 6: Final answer
    x = 1,778.41

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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.