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Finding the Third Proportional to 3.54 and 7.09

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Solution

The third proportional to 3.54 and 7.09 is: 14.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.54 : 7.09 = 7.09 : x
  2. Step 2: Convert to fraction form
    3.54/7.09 = 7.09/x
  3. Step 3: Cross multiply
    3.54x = 7.09 × 7.09
  4. Step 4: Simplify right side
    3.54x = 50.25
  5. Step 5: Solve for x
    x = 50.25/3.54
  6. Step 6: Final answer
    x = 14.18

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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.