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Finding the Third Proportional to 4,540.50 and 9,331.31

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Solution

The third proportional to 4,540.50 and 9,331.31 is: 19,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.50 : 9,331.31 = 9,331.31 : x
  2. Step 2: Convert to fraction form
    4,540.50/9,331.31 = 9,331.31/x
  3. Step 3: Cross multiply
    4,540.50x = 9,331.31 × 9,331.31
  4. Step 4: Simplify right side
    4,540.50x = 87,073,392.97
  5. Step 5: Solve for x
    x = 87,073,392.97/4,540.50
  6. Step 6: Final answer
    x = 19,177.05

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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.