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Finding the Third Proportional to 172,631 and 376,645

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Solution

The third proportional to 172,631 and 376,645 is: 821,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,631 : 376,645 = 376,645 : x
  2. Step 2: Convert to fraction form
    172,631/376,645 = 376,645/x
  3. Step 3: Cross multiply
    172,631x = 376,645 × 376,645
  4. Step 4: Simplify right side
    172,631x = 141,861,456,025
  5. Step 5: Solve for x
    x = 141,861,456,025/172,631
  6. Step 6: Final answer
    x = 821,761.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.