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Finding the Third Proportional to 5.16 and 11.27

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Solution

The third proportional to 5.16 and 11.27 is: 24.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.16 : 11.27 = 11.27 : x
  2. Step 2: Convert to fraction form
    5.16/11.27 = 11.27/x
  3. Step 3: Cross multiply
    5.16x = 11.27 × 11.27
  4. Step 4: Simplify right side
    5.16x = 127.09
  5. Step 5: Solve for x
    x = 127.09/5.16
  6. Step 6: Final answer
    x = 24.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.