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Finding the Third Proportional to 5.05 and 10.59

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Solution

The third proportional to 5.05 and 10.59 is: 22.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.05 : 10.59 = 10.59 : x
  2. Step 2: Convert to fraction form
    5.05/10.59 = 10.59/x
  3. Step 3: Cross multiply
    5.05x = 10.59 × 10.59
  4. Step 4: Simplify right side
    5.05x = 112.15
  5. Step 5: Solve for x
    x = 112.15/5.05
  6. Step 6: Final answer
    x = 22.22

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.