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Finding the Third Proportional to 853.35 and 1,198.39

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Solution

The third proportional to 853.35 and 1,198.39 is: 1,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.35 : 1,198.39 = 1,198.39 : x
  2. Step 2: Convert to fraction form
    853.35/1,198.39 = 1,198.39/x
  3. Step 3: Cross multiply
    853.35x = 1,198.39 × 1,198.39
  4. Step 4: Simplify right side
    853.35x = 1,436,135.41
  5. Step 5: Solve for x
    x = 1,436,135.41/853.35
  6. Step 6: Final answer
    x = 1,682.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.