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Finding the Third Proportional to 379,305 and 814,836

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Solution

The third proportional to 379,305 and 814,836 is: 1,750,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,305 : 814,836 = 814,836 : x
  2. Step 2: Convert to fraction form
    379,305/814,836 = 814,836/x
  3. Step 3: Cross multiply
    379,305x = 814,836 × 814,836
  4. Step 4: Simplify right side
    379,305x = 663,957,706,896
  5. Step 5: Solve for x
    x = 663,957,706,896/379,305
  6. Step 6: Final answer
    x = 1,750,458.62

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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.