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Finding the Third Proportional to 5.72 and 12.17

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Solution

The third proportional to 5.72 and 12.17 is: 25.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.72 : 12.17 = 12.17 : x
  2. Step 2: Convert to fraction form
    5.72/12.17 = 12.17/x
  3. Step 3: Cross multiply
    5.72x = 12.17 × 12.17
  4. Step 4: Simplify right side
    5.72x = 148.20
  5. Step 5: Solve for x
    x = 148.20/5.72
  6. Step 6: Final answer
    x = 25.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.