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Finding the Third Proportional to 221,949 and 347,805

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Solution

The third proportional to 221,949 and 347,805 is: 545,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,949 : 347,805 = 347,805 : x
  2. Step 2: Convert to fraction form
    221,949/347,805 = 347,805/x
  3. Step 3: Cross multiply
    221,949x = 347,805 × 347,805
  4. Step 4: Simplify right side
    221,949x = 120,968,318,025
  5. Step 5: Solve for x
    x = 120,968,318,025/221,949
  6. Step 6: Final answer
    x = 545,027.54

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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.