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Finding the Third Proportional to 11.72 and 25.74

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Solution

The third proportional to 11.72 and 25.74 is: 56.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.72 : 25.74 = 25.74 : x
  2. Step 2: Convert to fraction form
    11.72/25.74 = 25.74/x
  3. Step 3: Cross multiply
    11.72x = 25.74 × 25.74
  4. Step 4: Simplify right side
    11.72x = 662.39
  5. Step 5: Solve for x
    x = 662.39/11.72
  6. Step 6: Final answer
    x = 56.53

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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.