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Finding the Third Proportional to 172,941 and 378,687

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Solution

The third proportional to 172,941 and 378,687 is: 829,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,941 : 378,687 = 378,687 : x
  2. Step 2: Convert to fraction form
    172,941/378,687 = 378,687/x
  3. Step 3: Cross multiply
    172,941x = 378,687 × 378,687
  4. Step 4: Simplify right side
    172,941x = 143,403,843,969
  5. Step 5: Solve for x
    x = 143,403,843,969/172,941
  6. Step 6: Final answer
    x = 829,206.75

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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.