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Finding the Third Proportional to 5.66 and 12.22

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Solution

The third proportional to 5.66 and 12.22 is: 26.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 12.22 = 12.22 : x
  2. Step 2: Convert to fraction form
    5.66/12.22 = 12.22/x
  3. Step 3: Cross multiply
    5.66x = 12.22 × 12.22
  4. Step 4: Simplify right side
    5.66x = 149.30
  5. Step 5: Solve for x
    x = 149.30/5.66
  6. Step 6: Final answer
    x = 26.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.