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Finding the Third Proportional to 78,777 and 172,866

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Solution

The third proportional to 78,777 and 172,866 is: 379,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777 : 172,866 = 172,866 : x
  2. Step 2: Convert to fraction form
    78,777/172,866 = 172,866/x
  3. Step 3: Cross multiply
    78,777x = 172,866 × 172,866
  4. Step 4: Simplify right side
    78,777x = 29,882,653,956
  5. Step 5: Solve for x
    x = 29,882,653,956/78,777
  6. Step 6: Final answer
    x = 379,332.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.