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Finding the Third Proportional to 221,992 and 347,869

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Solution

The third proportional to 221,992 and 347,869 is: 545,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,992 : 347,869 = 347,869 : x
  2. Step 2: Convert to fraction form
    221,992/347,869 = 347,869/x
  3. Step 3: Cross multiply
    221,992x = 347,869 × 347,869
  4. Step 4: Simplify right side
    221,992x = 121,012,841,161
  5. Step 5: Solve for x
    x = 121,012,841,161/221,992
  6. Step 6: Final answer
    x = 545,122.53

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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.