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Finding the Third Proportional to 121.94 and 230.38

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Solution

The third proportional to 121.94 and 230.38 is: 435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 230.38 = 230.38 : x
  2. Step 2: Convert to fraction form
    121.94/230.38 = 230.38/x
  3. Step 3: Cross multiply
    121.94x = 230.38 × 230.38
  4. Step 4: Simplify right side
    121.94x = 53,072.64
  5. Step 5: Solve for x
    x = 53,072.64/121.94
  6. Step 6: Final answer
    x = 435.24

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.