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Finding the Third Proportional to 221,990 and 347,866

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Solution

The third proportional to 221,990 and 347,866 is: 545,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,990 : 347,866 = 347,866 : x
  2. Step 2: Convert to fraction form
    221,990/347,866 = 347,866/x
  3. Step 3: Cross multiply
    221,990x = 347,866 × 347,866
  4. Step 4: Simplify right side
    221,990x = 121,010,753,956
  5. Step 5: Solve for x
    x = 121,010,753,956/221,990
  6. Step 6: Final answer
    x = 545,118.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.