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Finding the Third Proportional to 81,234.75 and 189,803.25

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Solution

The third proportional to 81,234.75 and 189,803.25 is: 443,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,234.75 : 189,803.25 = 189,803.25 : x
  2. Step 2: Convert to fraction form
    81,234.75/189,803.25 = 189,803.25/x
  3. Step 3: Cross multiply
    81,234.75x = 189,803.25 × 189,803.25
  4. Step 4: Simplify right side
    81,234.75x = 36,025,273,710.56
  5. Step 5: Solve for x
    x = 36,025,273,710.56/81,234.75
  6. Step 6: Final answer
    x = 443,471.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.