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Finding the Third Proportional to 5.15 and 12.22

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Solution

The third proportional to 5.15 and 12.22 is: 28.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.15 : 12.22 = 12.22 : x
  2. Step 2: Convert to fraction form
    5.15/12.22 = 12.22/x
  3. Step 3: Cross multiply
    5.15x = 12.22 × 12.22
  4. Step 4: Simplify right side
    5.15x = 149.26
  5. Step 5: Solve for x
    x = 149.26/5.15
  6. Step 6: Final answer
    x = 28.98

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.