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Finding the Third Proportional to 7.09 and 14.18

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Solution

The third proportional to 7.09 and 14.18 is: 28.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.09 : 14.18 = 14.18 : x
  2. Step 2: Convert to fraction form
    7.09/14.18 = 14.18/x
  3. Step 3: Cross multiply
    7.09x = 14.18 × 14.18
  4. Step 4: Simplify right side
    7.09x = 201.01
  5. Step 5: Solve for x
    x = 201.01/7.09
  6. Step 6: Final answer
    x = 28.36

Related Problems

Find third proportional to 3.54 and 7.09
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 (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.