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Finding the Third Proportional to 559.75 and 819.38

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Solution

The third proportional to 559.75 and 819.38 is: 1,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 819.38 = 819.38 : x
  2. Step 2: Convert to fraction form
    559.75/819.38 = 819.38/x
  3. Step 3: Cross multiply
    559.75x = 819.38 × 819.38
  4. Step 4: Simplify right side
    559.75x = 671,375.39
  5. Step 5: Solve for x
    x = 671,375.39/559.75
  6. Step 6: Final answer
    x = 1,199.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.