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Finding the Third Proportional to 120,012 and 172,866

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Solution

The third proportional to 120,012 and 172,866 is: 248,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,012 : 172,866 = 172,866 : x
  2. Step 2: Convert to fraction form
    120,012/172,866 = 172,866/x
  3. Step 3: Cross multiply
    120,012x = 172,866 × 172,866
  4. Step 4: Simplify right side
    120,012x = 29,882,653,956
  5. Step 5: Solve for x
    x = 29,882,653,956/120,012
  6. Step 6: Final answer
    x = 248,997.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.