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Finding the Third Proportional to 25.16 and 54.89

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Solution

The third proportional to 25.16 and 54.89 is: 119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.16 : 54.89 = 54.89 : x
  2. Step 2: Convert to fraction form
    25.16/54.89 = 54.89/x
  3. Step 3: Cross multiply
    25.16x = 54.89 × 54.89
  4. Step 4: Simplify right side
    25.16x = 3,012.98
  5. Step 5: Solve for x
    x = 3,012.98/25.16
  6. Step 6: Final answer
    x = 119.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.