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Finding the Third Proportional to 81,735 and 172,218

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Solution

The third proportional to 81,735 and 172,218 is: 362,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,735 : 172,218 = 172,218 : x
  2. Step 2: Convert to fraction form
    81,735/172,218 = 172,218/x
  3. Step 3: Cross multiply
    81,735x = 172,218 × 172,218
  4. Step 4: Simplify right side
    81,735x = 29,659,039,524
  5. Step 5: Solve for x
    x = 29,659,039,524/81,735
  6. Step 6: Final answer
    x = 362,868.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.