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Finding the Third Proportional to 81,981 and 177,894

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Solution

The third proportional to 81,981 and 177,894 is: 386,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981 : 177,894 = 177,894 : x
  2. Step 2: Convert to fraction form
    81,981/177,894 = 177,894/x
  3. Step 3: Cross multiply
    81,981x = 177,894 × 177,894
  4. Step 4: Simplify right side
    81,981x = 31,646,275,236
  5. Step 5: Solve for x
    x = 31,646,275,236/81,981
  6. Step 6: Final answer
    x = 386,019.63

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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.