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Finding the Third Proportional to 221,961 and 485,439

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Solution

The third proportional to 221,961 and 485,439 is: 1,061,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,961 : 485,439 = 485,439 : x
  2. Step 2: Convert to fraction form
    221,961/485,439 = 485,439/x
  3. Step 3: Cross multiply
    221,961x = 485,439 × 485,439
  4. Step 4: Simplify right side
    221,961x = 235,651,022,721
  5. Step 5: Solve for x
    x = 235,651,022,721/221,961
  6. Step 6: Final answer
    x = 1,061,677.60

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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.