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Finding the Third Proportional to 7.12 and 14.24

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Solution

The third proportional to 7.12 and 14.24 is: 28.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.12 : 14.24 = 14.24 : x
  2. Step 2: Convert to fraction form
    7.12/14.24 = 14.24/x
  3. Step 3: Cross multiply
    7.12x = 14.24 × 14.24
  4. Step 4: Simplify right side
    7.12x = 202.73
  5. Step 5: Solve for x
    x = 202.73/7.12
  6. Step 6: Final answer
    x = 28.48

Related Problems

Find third proportional to 3.56 and 7.12
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.