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Finding the Third Proportional to 81,652 and 177,884

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Solution

The third proportional to 81,652 and 177,884 is: 387,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652 : 177,884 = 177,884 : x
  2. Step 2: Convert to fraction form
    81,652/177,884 = 177,884/x
  3. Step 3: Cross multiply
    81,652x = 177,884 × 177,884
  4. Step 4: Simplify right side
    81,652x = 31,642,717,456
  5. Step 5: Solve for x
    x = 31,642,717,456/81,652
  6. Step 6: Final answer
    x = 387,531.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.