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Finding the Third Proportional to 25.78 and 56.81

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Solution

The third proportional to 25.78 and 56.81 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.78 : 56.81 = 56.81 : x
  2. Step 2: Convert to fraction form
    25.78/56.81 = 56.81/x
  3. Step 3: Cross multiply
    25.78x = 56.81 × 56.81
  4. Step 4: Simplify right side
    25.78x = 3,227.66
  5. Step 5: Solve for x
    x = 3,227.66/25.78
  6. Step 6: Final answer
    x = 125.19

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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.