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Finding the Third Proportional to 81,881 and 177,586

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Solution

The third proportional to 81,881 and 177,586 is: 385,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881 : 177,586 = 177,586 : x
  2. Step 2: Convert to fraction form
    81,881/177,586 = 177,586/x
  3. Step 3: Cross multiply
    81,881x = 177,586 × 177,586
  4. Step 4: Simplify right side
    81,881x = 31,536,787,396
  5. Step 5: Solve for x
    x = 31,536,787,396/81,881
  6. Step 6: Final answer
    x = 385,153.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.