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Finding the Third Proportional to 172,536.75 and 261,910.13

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Solution

The third proportional to 172,536.75 and 261,910.13 is: 397,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,536.75 : 261,910.13 = 261,910.13 : x
  2. Step 2: Convert to fraction form
    172,536.75/261,910.13 = 261,910.13/x
  3. Step 3: Cross multiply
    172,536.75x = 261,910.13 × 261,910.13
  4. Step 4: Simplify right side
    172,536.75x = 68,596,913,577.52
  5. Step 5: Solve for x
    x = 68,596,913,577.52/172,536.75
  6. Step 6: Final answer
    x = 397,578.57

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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.