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Finding the Third Proportional to 7.22 and 10.48

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Solution

The third proportional to 7.22 and 10.48 is: 15.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 10.48 = 10.48 : x
  2. Step 2: Convert to fraction form
    7.22/10.48 = 10.48/x
  3. Step 3: Cross multiply
    7.22x = 10.48 × 10.48
  4. Step 4: Simplify right side
    7.22x = 109.76
  5. Step 5: Solve for x
    x = 109.76/7.22
  6. Step 6: Final answer
    x = 15.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.