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Finding the Third Proportional to 338.13 and 529.69

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Solution

The third proportional to 338.13 and 529.69 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 529.69 = 529.69 : x
  2. Step 2: Convert to fraction form
    338.13/529.69 = 529.69/x
  3. Step 3: Cross multiply
    338.13x = 529.69 × 529.69
  4. Step 4: Simplify right side
    338.13x = 280,568.85
  5. Step 5: Solve for x
    x = 280,568.85/338.13
  6. Step 6: Final answer
    x = 829.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.