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Finding the Third Proportional to 338.55 and 519.86

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Solution

The third proportional to 338.55 and 519.86 is: 798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.55 : 519.86 = 519.86 : x
  2. Step 2: Convert to fraction form
    338.55/519.86 = 519.86/x
  3. Step 3: Cross multiply
    338.55x = 519.86 × 519.86
  4. Step 4: Simplify right side
    338.55x = 270,249.71
  5. Step 5: Solve for x
    x = 270,249.71/338.55
  6. Step 6: Final answer
    x = 798.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.