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Finding the Third Proportional to 568.88 and 853.31

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Solution

The third proportional to 568.88 and 853.31 is: 1,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.88 : 853.31 = 853.31 : x
  2. Step 2: Convert to fraction form
    568.88/853.31 = 853.31/x
  3. Step 3: Cross multiply
    568.88x = 853.31 × 853.31
  4. Step 4: Simplify right side
    568.88x = 728,142.22
  5. Step 5: Solve for x
    x = 728,142.22/568.88
  6. Step 6: Final answer
    x = 1,279.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.