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Finding the Third Proportional to 229.88 and 448.19

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Solution

The third proportional to 229.88 and 448.19 is: 873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 448.19 = 448.19 : x
  2. Step 2: Convert to fraction form
    229.88/448.19 = 448.19/x
  3. Step 3: Cross multiply
    229.88x = 448.19 × 448.19
  4. Step 4: Simplify right side
    229.88x = 200,872.04
  5. Step 5: Solve for x
    x = 200,872.04/229.88
  6. Step 6: Final answer
    x = 873.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.