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Finding the Third Proportional to 213.23 and 449.11

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Solution

The third proportional to 213.23 and 449.11 is: 945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 449.11 = 449.11 : x
  2. Step 2: Convert to fraction form
    213.23/449.11 = 449.11/x
  3. Step 3: Cross multiply
    213.23x = 449.11 × 449.11
  4. Step 4: Simplify right side
    213.23x = 201,699.23
  5. Step 5: Solve for x
    x = 201,699.23/213.23
  6. Step 6: Final answer
    x = 945.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.