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Finding the Third Proportional to 14.24 and 20.09

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Solution

The third proportional to 14.24 and 20.09 is: 28.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 20.09 = 20.09 : x
  2. Step 2: Convert to fraction form
    14.24/20.09 = 20.09/x
  3. Step 3: Cross multiply
    14.24x = 20.09 × 20.09
  4. Step 4: Simplify right side
    14.24x = 403.68
  5. Step 5: Solve for x
    x = 403.68/14.24
  6. Step 6: Final answer
    x = 28.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.