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Finding the Third Proportional to 172,504 and 261,674

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Solution

The third proportional to 172,504 and 261,674 is: 396,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,504 : 261,674 = 261,674 : x
  2. Step 2: Convert to fraction form
    172,504/261,674 = 261,674/x
  3. Step 3: Cross multiply
    172,504x = 261,674 × 261,674
  4. Step 4: Simplify right side
    172,504x = 68,473,282,276
  5. Step 5: Solve for x
    x = 68,473,282,276/172,504
  6. Step 6: Final answer
    x = 396,937.36

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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.