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Finding the Third Proportional to 84,211 and 181,777

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Solution

The third proportional to 84,211 and 181,777 is: 392,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,211 : 181,777 = 181,777 : x
  2. Step 2: Convert to fraction form
    84,211/181,777 = 181,777/x
  3. Step 3: Cross multiply
    84,211x = 181,777 × 181,777
  4. Step 4: Simplify right side
    84,211x = 33,042,877,729
  5. Step 5: Solve for x
    x = 33,042,877,729/84,211
  6. Step 6: Final answer
    x = 392,381.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.