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Finding the Third Proportional to 539 and 819.44

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Solution

The third proportional to 539 and 819.44 is: 1,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539 : 819.44 = 819.44 : x
  2. Step 2: Convert to fraction form
    539/819.44 = 819.44/x
  3. Step 3: Cross multiply
    539x = 819.44 × 819.44
  4. Step 4: Simplify right side
    539x = 671,477.82
  5. Step 5: Solve for x
    x = 671,477.82/539
  6. Step 6: Final answer
    x = 1,245.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.