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Finding the Third Proportional to 6.22 and 13.53

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Solution

The third proportional to 6.22 and 13.53 is: 29.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.22 : 13.53 = 13.53 : x
  2. Step 2: Convert to fraction form
    6.22/13.53 = 13.53/x
  3. Step 3: Cross multiply
    6.22x = 13.53 × 13.53
  4. Step 4: Simplify right side
    6.22x = 183.09
  5. Step 5: Solve for x
    x = 183.09/6.22
  6. Step 6: Final answer
    x = 29.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.