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Finding the Third Proportional to 81,891 and 173,623

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Solution

The third proportional to 81,891 and 173,623 is: 368,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,891 : 173,623 = 173,623 : x
  2. Step 2: Convert to fraction form
    81,891/173,623 = 173,623/x
  3. Step 3: Cross multiply
    81,891x = 173,623 × 173,623
  4. Step 4: Simplify right side
    81,891x = 30,144,946,129
  5. Step 5: Solve for x
    x = 30,144,946,129/81,891
  6. Step 6: Final answer
    x = 368,110.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.