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Finding the Third Proportional to 81,669.75 and 122,505

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Solution

The third proportional to 81,669.75 and 122,505 is: 183,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,669.75 : 122,505 = 122,505 : x
  2. Step 2: Convert to fraction form
    81,669.75/122,505 = 122,505/x
  3. Step 3: Cross multiply
    81,669.75x = 122,505 × 122,505
  4. Step 4: Simplify right side
    81,669.75x = 15,007,475,025
  5. Step 5: Solve for x
    x = 15,007,475,025/81,669.75
  6. Step 6: Final answer
    x = 183,758.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.