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Finding the Third Proportional to 226.38 and 515.69

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Solution

The third proportional to 226.38 and 515.69 is: 1,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.38 : 515.69 = 515.69 : x
  2. Step 2: Convert to fraction form
    226.38/515.69 = 515.69/x
  3. Step 3: Cross multiply
    226.38x = 515.69 × 515.69
  4. Step 4: Simplify right side
    226.38x = 265,933.60
  5. Step 5: Solve for x
    x = 265,933.60/226.38
  6. Step 6: Final answer
    x = 1,174.75

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.