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Finding the Third Proportional to 189,828 and 412,872

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Solution

The third proportional to 189,828 and 412,872 is: 897,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828 : 412,872 = 412,872 : x
  2. Step 2: Convert to fraction form
    189,828/412,872 = 412,872/x
  3. Step 3: Cross multiply
    189,828x = 412,872 × 412,872
  4. Step 4: Simplify right side
    189,828x = 170,463,288,384
  5. Step 5: Solve for x
    x = 170,463,288,384/189,828
  6. Step 6: Final answer
    x = 897,988.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.