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Finding the Third Proportional to 551.44 and 853.22

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Solution

The third proportional to 551.44 and 853.22 is: 1,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.44 : 853.22 = 853.22 : x
  2. Step 2: Convert to fraction form
    551.44/853.22 = 853.22/x
  3. Step 3: Cross multiply
    551.44x = 853.22 × 853.22
  4. Step 4: Simplify right side
    551.44x = 727,982.24
  5. Step 5: Solve for x
    x = 727,982.24/551.44
  6. Step 6: Final answer
    x = 1,320.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.