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Finding the Third Proportional to 189,508 and 412,424

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Solution

The third proportional to 189,508 and 412,424 is: 897,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,508 : 412,424 = 412,424 : x
  2. Step 2: Convert to fraction form
    189,508/412,424 = 412,424/x
  3. Step 3: Cross multiply
    189,508x = 412,424 × 412,424
  4. Step 4: Simplify right side
    189,508x = 170,093,555,776
  5. Step 5: Solve for x
    x = 170,093,555,776/189,508
  6. Step 6: Final answer
    x = 897,553.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.