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Finding the Third Proportional to 25.91 and 56.36

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Solution

The third proportional to 25.91 and 56.36 is: 122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.91 : 56.36 = 56.36 : x
  2. Step 2: Convert to fraction form
    25.91/56.36 = 56.36/x
  3. Step 3: Cross multiply
    25.91x = 56.36 × 56.36
  4. Step 4: Simplify right side
    25.91x = 3,176.38
  5. Step 5: Solve for x
    x = 3,176.38/25.91
  6. Step 6: Final answer
    x = 122.61

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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.