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Finding the Third Proportional to 5.53 and 12.12

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Solution

The third proportional to 5.53 and 12.12 is: 26.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.53 : 12.12 = 12.12 : x
  2. Step 2: Convert to fraction form
    5.53/12.12 = 12.12/x
  3. Step 3: Cross multiply
    5.53x = 12.12 × 12.12
  4. Step 4: Simplify right side
    5.53x = 146.90
  5. Step 5: Solve for x
    x = 146.90/5.53
  6. Step 6: Final answer
    x = 26.57

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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.