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Finding the Third Proportional to 81,884 and 172,464

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Solution

The third proportional to 81,884 and 172,464 is: 363,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884 : 172,464 = 172,464 : x
  2. Step 2: Convert to fraction form
    81,884/172,464 = 172,464/x
  3. Step 3: Cross multiply
    81,884x = 172,464 × 172,464
  4. Step 4: Simplify right side
    81,884x = 29,743,831,296
  5. Step 5: Solve for x
    x = 29,743,831,296/81,884
  6. Step 6: Final answer
    x = 363,243.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.