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Finding the Third Proportional to 8,239.22 and 18,331.31

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Solution

The third proportional to 8,239.22 and 18,331.31 is: 40,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.22 : 18,331.31 = 18,331.31 : x
  2. Step 2: Convert to fraction form
    8,239.22/18,331.31 = 18,331.31/x
  3. Step 3: Cross multiply
    8,239.22x = 18,331.31 × 18,331.31
  4. Step 4: Simplify right side
    8,239.22x = 336,037,017.97
  5. Step 5: Solve for x
    x = 336,037,017.97/8,239.22
  6. Step 6: Final answer
    x = 40,785.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.