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Finding the Third Proportional to 81,450 and 122,694.75

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Solution

The third proportional to 81,450 and 122,694.75 is: 184,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,450 : 122,694.75 = 122,694.75 : x
  2. Step 2: Convert to fraction form
    81,450/122,694.75 = 122,694.75/x
  3. Step 3: Cross multiply
    81,450x = 122,694.75 × 122,694.75
  4. Step 4: Simplify right side
    81,450x = 15,054,001,677.56
  5. Step 5: Solve for x
    x = 15,054,001,677.56/81,450
  6. Step 6: Final answer
    x = 184,825.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.