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Finding the Third Proportional to 219,381 and 474,744

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Solution

The third proportional to 219,381 and 474,744 is: 1,027,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,381 : 474,744 = 474,744 : x
  2. Step 2: Convert to fraction form
    219,381/474,744 = 474,744/x
  3. Step 3: Cross multiply
    219,381x = 474,744 × 474,744
  4. Step 4: Simplify right side
    219,381x = 225,381,865,536
  5. Step 5: Solve for x
    x = 225,381,865,536/219,381
  6. Step 6: Final answer
    x = 1,027,353.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.