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Finding the Third Proportional to 25.73 and 55.27

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Solution

The third proportional to 25.73 and 55.27 is: 118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.73 : 55.27 = 55.27 : x
  2. Step 2: Convert to fraction form
    25.73/55.27 = 55.27/x
  3. Step 3: Cross multiply
    25.73x = 55.27 × 55.27
  4. Step 4: Simplify right side
    25.73x = 3,054.29
  5. Step 5: Solve for x
    x = 3,054.29/25.73
  6. Step 6: Final answer
    x = 118.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.