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Finding the Third Proportional to 5.45 and 10.90

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Solution

The third proportional to 5.45 and 10.90 is: 21.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.45 : 10.90 = 10.90 : x
  2. Step 2: Convert to fraction form
    5.45/10.90 = 10.90/x
  3. Step 3: Cross multiply
    5.45x = 10.90 × 10.90
  4. Step 4: Simplify right side
    5.45x = 118.87
  5. Step 5: Solve for x
    x = 118.87/5.45
  6. Step 6: Final answer
    x = 21.81

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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.