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Finding the Third Proportional to 25.25 and 55.56

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Solution

The third proportional to 25.25 and 55.56 is: 122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.25 : 55.56 = 55.56 : x
  2. Step 2: Convert to fraction form
    25.25/55.56 = 55.56/x
  3. Step 3: Cross multiply
    25.25x = 55.56 × 55.56
  4. Step 4: Simplify right side
    25.25x = 3,087.19
  5. Step 5: Solve for x
    x = 3,087.19/25.25
  6. Step 6: Final answer
    x = 122.27

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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.