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Finding the Third Proportional to 378,450 and 805,949

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Solution

The third proportional to 378,450 and 805,949 is: 1,716,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,450 : 805,949 = 805,949 : x
  2. Step 2: Convert to fraction form
    378,450/805,949 = 805,949/x
  3. Step 3: Cross multiply
    378,450x = 805,949 × 805,949
  4. Step 4: Simplify right side
    378,450x = 649,553,790,601
  5. Step 5: Solve for x
    x = 649,553,790,601/378,450
  6. Step 6: Final answer
    x = 1,716,352.99

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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.