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Finding the Third Proportional to 339.05 and 519.05

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Solution

The third proportional to 339.05 and 519.05 is: 794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.05 : 519.05 = 519.05 : x
  2. Step 2: Convert to fraction form
    339.05/519.05 = 519.05/x
  3. Step 3: Cross multiply
    339.05x = 519.05 × 519.05
  4. Step 4: Simplify right side
    339.05x = 269,409.66
  5. Step 5: Solve for x
    x = 269,409.66/339.05
  6. Step 6: Final answer
    x = 794.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.