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Finding the Third Proportional to 7.22 and 9.80

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Solution

The third proportional to 7.22 and 9.80 is: 13.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 9.80 = 9.80 : x
  2. Step 2: Convert to fraction form
    7.22/9.80 = 9.80/x
  3. Step 3: Cross multiply
    7.22x = 9.80 × 9.80
  4. Step 4: Simplify right side
    7.22x = 95.98
  5. Step 5: Solve for x
    x = 95.98/7.22
  6. Step 6: Final answer
    x = 13.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.