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Finding the Third Proportional to 401.20 and 853.66

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Solution

The third proportional to 401.20 and 853.66 is: 1,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.20 : 853.66 = 853.66 : x
  2. Step 2: Convert to fraction form
    401.20/853.66 = 853.66/x
  3. Step 3: Cross multiply
    401.20x = 853.66 × 853.66
  4. Step 4: Simplify right side
    401.20x = 728,742.33
  5. Step 5: Solve for x
    x = 728,742.33/401.20
  6. Step 6: Final answer
    x = 1,816.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.