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Finding the Third Proportional to 114.09 and 213.84

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Solution

The third proportional to 114.09 and 213.84 is: 400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 213.84 = 213.84 : x
  2. Step 2: Convert to fraction form
    114.09/213.84 = 213.84/x
  3. Step 3: Cross multiply
    114.09x = 213.84 × 213.84
  4. Step 4: Simplify right side
    114.09x = 45,729.15
  5. Step 5: Solve for x
    x = 45,729.15/114.09
  6. Step 6: Final answer
    x = 400.80

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.