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Finding the Third Proportional to 25.42 and 55.11

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Solution

The third proportional to 25.42 and 55.11 is: 119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.42 : 55.11 = 55.11 : x
  2. Step 2: Convert to fraction form
    25.42/55.11 = 55.11/x
  3. Step 3: Cross multiply
    25.42x = 55.11 × 55.11
  4. Step 4: Simplify right side
    25.42x = 3,036.83
  5. Step 5: Solve for x
    x = 3,036.83/25.42
  6. Step 6: Final answer
    x = 119.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.