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Finding the Third Proportional to 378,678 and 816,405

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Solution

The third proportional to 378,678 and 816,405 is: 1,760,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,678 : 816,405 = 816,405 : x
  2. Step 2: Convert to fraction form
    378,678/816,405 = 816,405/x
  3. Step 3: Cross multiply
    378,678x = 816,405 × 816,405
  4. Step 4: Simplify right side
    378,678x = 666,517,124,025
  5. Step 5: Solve for x
    x = 666,517,124,025/378,678
  6. Step 6: Final answer
    x = 1,760,115.78

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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.