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Finding the Third Proportional to 379,980 and 810,812

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Solution

The third proportional to 379,980 and 810,812 is: 1,730,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,980 : 810,812 = 810,812 : x
  2. Step 2: Convert to fraction form
    379,980/810,812 = 810,812/x
  3. Step 3: Cross multiply
    379,980x = 810,812 × 810,812
  4. Step 4: Simplify right side
    379,980x = 657,416,099,344
  5. Step 5: Solve for x
    x = 657,416,099,344/379,980
  6. Step 6: Final answer
    x = 1,730,133.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.