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Finding the Third Proportional to 7.22 and 19.86

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Solution

The third proportional to 7.22 and 19.86 is: 54.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 19.86 = 19.86 : x
  2. Step 2: Convert to fraction form
    7.22/19.86 = 19.86/x
  3. Step 3: Cross multiply
    7.22x = 19.86 × 19.86
  4. Step 4: Simplify right side
    7.22x = 394.57
  5. Step 5: Solve for x
    x = 394.57/7.22
  6. Step 6: Final answer
    x = 54.63

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.