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Finding the Third Proportional to 5.22 and 10.60

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Solution

The third proportional to 5.22 and 10.60 is: 21.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 10.60 = 10.60 : x
  2. Step 2: Convert to fraction form
    5.22/10.60 = 10.60/x
  3. Step 3: Cross multiply
    5.22x = 10.60 × 10.60
  4. Step 4: Simplify right side
    5.22x = 112.35
  5. Step 5: Solve for x
    x = 112.35/5.22
  6. Step 6: Final answer
    x = 21.52

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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.