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Finding the Third Proportional to 579.13 and 853.44

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Solution

The third proportional to 579.13 and 853.44 is: 1,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.13 : 853.44 = 853.44 : x
  2. Step 2: Convert to fraction form
    579.13/853.44 = 853.44/x
  3. Step 3: Cross multiply
    579.13x = 853.44 × 853.44
  4. Step 4: Simplify right side
    579.13x = 728,355.57
  5. Step 5: Solve for x
    x = 728,355.57/579.13
  6. Step 6: Final answer
    x = 1,257.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.