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Finding the Third Proportional to 378,728 and 809,945

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Solution

The third proportional to 378,728 and 809,945 is: 1,732,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,728 : 809,945 = 809,945 : x
  2. Step 2: Convert to fraction form
    378,728/809,945 = 809,945/x
  3. Step 3: Cross multiply
    378,728x = 809,945 × 809,945
  4. Step 4: Simplify right side
    378,728x = 656,010,903,025
  5. Step 5: Solve for x
    x = 656,010,903,025/378,728
  6. Step 6: Final answer
    x = 1,732,142.60

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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.