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Finding the Third Proportional to 543.27 and 817.44

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Solution

The third proportional to 543.27 and 817.44 is: 1,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.27 : 817.44 = 817.44 : x
  2. Step 2: Convert to fraction form
    543.27/817.44 = 817.44/x
  3. Step 3: Cross multiply
    543.27x = 817.44 × 817.44
  4. Step 4: Simplify right side
    543.27x = 668,200.87
  5. Step 5: Solve for x
    x = 668,200.87/543.27
  6. Step 6: Final answer
    x = 1,229.96

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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.