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Finding the Third Proportional to 404.53 and 853.22

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Solution

The third proportional to 404.53 and 853.22 is: 1,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.53 : 853.22 = 853.22 : x
  2. Step 2: Convert to fraction form
    404.53/853.22 = 853.22/x
  3. Step 3: Cross multiply
    404.53x = 853.22 × 853.22
  4. Step 4: Simplify right side
    404.53x = 727,982.24
  5. Step 5: Solve for x
    x = 727,982.24/404.53
  6. Step 6: Final answer
    x = 1,799.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.