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Finding the Third Proportional to 8,539.96 and 18,761.31

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Solution

The third proportional to 8,539.96 and 18,761.31 is: 41,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.96 : 18,761.31 = 18,761.31 : x
  2. Step 2: Convert to fraction form
    8,539.96/18,761.31 = 18,761.31/x
  3. Step 3: Cross multiply
    8,539.96x = 18,761.31 × 18,761.31
  4. Step 4: Simplify right side
    8,539.96x = 351,986,700.15
  5. Step 5: Solve for x
    x = 351,986,700.15/8,539.96
  6. Step 6: Final answer
    x = 41,216.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.