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Finding the Third Proportional to 172,923 and 378,651

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Solution

The third proportional to 172,923 and 378,651 is: 829,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,923 : 378,651 = 378,651 : x
  2. Step 2: Convert to fraction form
    172,923/378,651 = 378,651/x
  3. Step 3: Cross multiply
    172,923x = 378,651 × 378,651
  4. Step 4: Simplify right side
    172,923x = 143,376,579,801
  5. Step 5: Solve for x
    x = 143,376,579,801/172,923
  6. Step 6: Final answer
    x = 829,135.39

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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.