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Finding the Third Proportional to 192,419 and 412,859

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Solution

The third proportional to 192,419 and 412,859 is: 885,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,419 : 412,859 = 412,859 : x
  2. Step 2: Convert to fraction form
    192,419/412,859 = 412,859/x
  3. Step 3: Cross multiply
    192,419x = 412,859 × 412,859
  4. Step 4: Simplify right side
    192,419x = 170,452,553,881
  5. Step 5: Solve for x
    x = 170,452,553,881/192,419
  6. Step 6: Final answer
    x = 885,840.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.