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Finding the Third Proportional to 14.23 and 20.83

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Solution

The third proportional to 14.23 and 20.83 is: 30.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 20.83 = 20.83 : x
  2. Step 2: Convert to fraction form
    14.23/20.83 = 20.83/x
  3. Step 3: Cross multiply
    14.23x = 20.83 × 20.83
  4. Step 4: Simplify right side
    14.23x = 433.88
  5. Step 5: Solve for x
    x = 433.88/14.23
  6. Step 6: Final answer
    x = 30.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.