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Finding the Third Proportional to 405.19 and 853.97

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Solution

The third proportional to 405.19 and 853.97 is: 1,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.19 : 853.97 = 853.97 : x
  2. Step 2: Convert to fraction form
    405.19/853.97 = 853.97/x
  3. Step 3: Cross multiply
    405.19x = 853.97 × 853.97
  4. Step 4: Simplify right side
    405.19x = 729,262.63
  5. Step 5: Solve for x
    x = 729,262.63/405.19
  6. Step 6: Final answer
    x = 1,799.82

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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.