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Finding the Third Proportional to 2.22 and 5.20

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Solution

The third proportional to 2.22 and 5.20 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.22 : 5.20 = 5.20 : x
  2. Step 2: Convert to fraction form
    2.22/5.20 = 5.20/x
  3. Step 3: Cross multiply
    2.22x = 5.20 × 5.20
  4. Step 4: Simplify right side
    2.22x = 27.06
  5. Step 5: Solve for x
    x = 27.06/2.22
  6. Step 6: Final answer
    x = 12.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.