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Finding the Third Proportional to 25.59 and 54.42

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Solution

The third proportional to 25.59 and 54.42 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.59 : 54.42 = 54.42 : x
  2. Step 2: Convert to fraction form
    25.59/54.42 = 54.42/x
  3. Step 3: Cross multiply
    25.59x = 54.42 × 54.42
  4. Step 4: Simplify right side
    25.59x = 2,961.74
  5. Step 5: Solve for x
    x = 2,961.74/25.59
  6. Step 6: Final answer
    x = 115.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.