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Finding the Third Proportional to 221,759 and 347,405

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Solution

The third proportional to 221,759 and 347,405 is: 544,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,759 : 347,405 = 347,405 : x
  2. Step 2: Convert to fraction form
    221,759/347,405 = 347,405/x
  3. Step 3: Cross multiply
    221,759x = 347,405 × 347,405
  4. Step 4: Simplify right side
    221,759x = 120,690,234,025
  5. Step 5: Solve for x
    x = 120,690,234,025/221,759
  6. Step 6: Final answer
    x = 544,240.52

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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.