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Finding the Third Proportional to 230.19 and 480.15

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Solution

The third proportional to 230.19 and 480.15 is: 1,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.19 : 480.15 = 480.15 : x
  2. Step 2: Convert to fraction form
    230.19/480.15 = 480.15/x
  3. Step 3: Cross multiply
    230.19x = 480.15 × 480.15
  4. Step 4: Simplify right side
    230.19x = 230,540.65
  5. Step 5: Solve for x
    x = 230,540.65/230.19
  6. Step 6: Final answer
    x = 1,001.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.