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Finding the Third Proportional to 379,996 and 813,086

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Solution

The third proportional to 379,996 and 813,086 is: 1,739,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,996 : 813,086 = 813,086 : x
  2. Step 2: Convert to fraction form
    379,996/813,086 = 813,086/x
  3. Step 3: Cross multiply
    379,996x = 813,086 × 813,086
  4. Step 4: Simplify right side
    379,996x = 661,108,843,396
  5. Step 5: Solve for x
    x = 661,108,843,396/379,996
  6. Step 6: Final answer
    x = 1,739,778.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.