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Finding the Third Proportional to 4,222.25 and 9,415.38

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Solution

The third proportional to 4,222.25 and 9,415.38 is: 20,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.25 : 9,415.38 = 9,415.38 : x
  2. Step 2: Convert to fraction form
    4,222.25/9,415.38 = 9,415.38/x
  3. Step 3: Cross multiply
    4,222.25x = 9,415.38 × 9,415.38
  4. Step 4: Simplify right side
    4,222.25x = 88,649,286.39
  5. Step 5: Solve for x
    x = 88,649,286.39/4,222.25
  6. Step 6: Final answer
    x = 20,995.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.