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Finding the Third Proportional to 172,674 and 261,694

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Solution

The third proportional to 172,674 and 261,694 is: 396,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,674 : 261,694 = 261,694 : x
  2. Step 2: Convert to fraction form
    172,674/261,694 = 261,694/x
  3. Step 3: Cross multiply
    172,674x = 261,694 × 261,694
  4. Step 4: Simplify right side
    172,674x = 68,483,749,636
  5. Step 5: Solve for x
    x = 68,483,749,636/172,674
  6. Step 6: Final answer
    x = 396,607.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.