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Finding the Third Proportional to 5.20 and 10.55

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Solution

The third proportional to 5.20 and 10.55 is: 21.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.20 : 10.55 = 10.55 : x
  2. Step 2: Convert to fraction form
    5.20/10.55 = 10.55/x
  3. Step 3: Cross multiply
    5.20x = 10.55 × 10.55
  4. Step 4: Simplify right side
    5.20x = 111.24
  5. Step 5: Solve for x
    x = 111.24/5.20
  6. Step 6: Final answer
    x = 21.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.