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Finding the Third Proportional to 183,469 and 396,890

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Solution

The third proportional to 183,469 and 396,890 is: 858,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 396,890 = 396,890 : x
  2. Step 2: Convert to fraction form
    183,469/396,890 = 396,890/x
  3. Step 3: Cross multiply
    183,469x = 396,890 × 396,890
  4. Step 4: Simplify right side
    183,469x = 157,521,672,100
  5. Step 5: Solve for x
    x = 157,521,672,100/183,469
  6. Step 6: Final answer
    x = 858,573.78

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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.