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Finding the Third Proportional to 7.16 and 11.23

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Solution

The third proportional to 7.16 and 11.23 is: 17.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.16 : 11.23 = 11.23 : x
  2. Step 2: Convert to fraction form
    7.16/11.23 = 11.23/x
  3. Step 3: Cross multiply
    7.16x = 11.23 × 11.23
  4. Step 4: Simplify right side
    7.16x = 126.21
  5. Step 5: Solve for x
    x = 126.21/7.16
  6. Step 6: Final answer
    x = 17.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.