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Finding the Third Proportional to 114.53 and 251.84

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Solution

The third proportional to 114.53 and 251.84 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.53 : 251.84 = 251.84 : x
  2. Step 2: Convert to fraction form
    114.53/251.84 = 251.84/x
  3. Step 3: Cross multiply
    114.53x = 251.84 × 251.84
  4. Step 4: Simplify right side
    114.53x = 63,425.27
  5. Step 5: Solve for x
    x = 63,425.27/114.53
  6. Step 6: Final answer
    x = 553.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.