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Finding the Third Proportional to 519.88 and 779.38

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Solution

The third proportional to 519.88 and 779.38 is: 1,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.88 : 779.38 = 779.38 : x
  2. Step 2: Convert to fraction form
    519.88/779.38 = 779.38/x
  3. Step 3: Cross multiply
    519.88x = 779.38 × 779.38
  4. Step 4: Simplify right side
    519.88x = 607,425.39
  5. Step 5: Solve for x
    x = 607,425.39/519.88
  6. Step 6: Final answer
    x = 1,168.41

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