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Finding the Third Proportional to 5.18 and 10.86

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Solution

The third proportional to 5.18 and 10.86 is: 22.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.18 : 10.86 = 10.86 : x
  2. Step 2: Convert to fraction form
    5.18/10.86 = 10.86/x
  3. Step 3: Cross multiply
    5.18x = 10.86 × 10.86
  4. Step 4: Simplify right side
    5.18x = 117.85
  5. Step 5: Solve for x
    x = 117.85/5.18
  6. Step 6: Final answer
    x = 22.76

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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.