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Finding the Third Proportional to 4,480.31 and 9,211.22

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Solution

The third proportional to 4,480.31 and 9,211.22 is: 18,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.31 : 9,211.22 = 9,211.22 : x
  2. Step 2: Convert to fraction form
    4,480.31/9,211.22 = 9,211.22/x
  3. Step 3: Cross multiply
    4,480.31x = 9,211.22 × 9,211.22
  4. Step 4: Simplify right side
    4,480.31x = 84,846,550.86
  5. Step 5: Solve for x
    x = 84,846,550.86/4,480.31
  6. Step 6: Final answer
    x = 18,937.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.