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Finding the Third Proportional to 8,754.56 and 18,739.31

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Solution

The third proportional to 8,754.56 and 18,739.31 is: 40,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754.56 : 18,739.31 = 18,739.31 : x
  2. Step 2: Convert to fraction form
    8,754.56/18,739.31 = 18,739.31/x
  3. Step 3: Cross multiply
    8,754.56x = 18,739.31 × 18,739.31
  4. Step 4: Simplify right side
    8,754.56x = 351,161,832.97
  5. Step 5: Solve for x
    x = 351,161,832.97/8,754.56
  6. Step 6: Final answer
    x = 40,111.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.