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Finding the Third Proportional to 249.22 and 545.69

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Solution

The third proportional to 249.22 and 545.69 is: 1,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.22 : 545.69 = 545.69 : x
  2. Step 2: Convert to fraction form
    249.22/545.69 = 545.69/x
  3. Step 3: Cross multiply
    249.22x = 545.69 × 545.69
  4. Step 4: Simplify right side
    249.22x = 297,774.85
  5. Step 5: Solve for x
    x = 297,774.85/249.22
  6. Step 6: Final answer
    x = 1,194.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.