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Finding the Third Proportional to 172,935 and 378,675

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Solution

The third proportional to 172,935 and 378,675 is: 829,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,935 : 378,675 = 378,675 : x
  2. Step 2: Convert to fraction form
    172,935/378,675 = 378,675/x
  3. Step 3: Cross multiply
    172,935x = 378,675 × 378,675
  4. Step 4: Simplify right side
    172,935x = 143,394,755,625
  5. Step 5: Solve for x
    x = 143,394,755,625/172,935
  6. Step 6: Final answer
    x = 829,182.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.