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Finding the Third Proportional to 399.62 and 853.35

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Solution

The third proportional to 399.62 and 853.35 is: 1,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.62 : 853.35 = 853.35 : x
  2. Step 2: Convert to fraction form
    399.62/853.35 = 853.35/x
  3. Step 3: Cross multiply
    399.62x = 853.35 × 853.35
  4. Step 4: Simplify right side
    399.62x = 728,202.22
  5. Step 5: Solve for x
    x = 728,202.22/399.62
  6. Step 6: Final answer
    x = 1,822.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.