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Finding the Third Proportional to 5.05 and 10.09

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Solution

The third proportional to 5.05 and 10.09 is: 20.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.05 : 10.09 = 10.09 : x
  2. Step 2: Convert to fraction form
    5.05/10.09 = 10.09/x
  3. Step 3: Cross multiply
    5.05x = 10.09 × 10.09
  4. Step 4: Simplify right side
    5.05x = 101.88
  5. Step 5: Solve for x
    x = 101.88/5.05
  6. Step 6: Final answer
    x = 20.19

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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.