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Finding the Third Proportional to 81,902 and 177,736

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Solution

The third proportional to 81,902 and 177,736 is: 385,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902 : 177,736 = 177,736 : x
  2. Step 2: Convert to fraction form
    81,902/177,736 = 177,736/x
  3. Step 3: Cross multiply
    81,902x = 177,736 × 177,736
  4. Step 4: Simplify right side
    81,902x = 31,590,085,696
  5. Step 5: Solve for x
    x = 31,590,085,696/81,902
  6. Step 6: Final answer
    x = 385,705.91

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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.