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Finding the Third Proportional to 230.97 and 513.27

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Solution

The third proportional to 230.97 and 513.27 is: 1,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.97 : 513.27 = 513.27 : x
  2. Step 2: Convert to fraction form
    230.97/513.27 = 513.27/x
  3. Step 3: Cross multiply
    230.97x = 513.27 × 513.27
  4. Step 4: Simplify right side
    230.97x = 263,441.60
  5. Step 5: Solve for x
    x = 263,441.60/230.97
  6. Step 6: Final answer
    x = 1,140.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.