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Finding the Third Proportional to 213,736 and 303,804

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Solution

The third proportional to 213,736 and 303,804 is: 431,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,736 : 303,804 = 303,804 : x
  2. Step 2: Convert to fraction form
    213,736/303,804 = 303,804/x
  3. Step 3: Cross multiply
    213,736x = 303,804 × 303,804
  4. Step 4: Simplify right side
    213,736x = 92,296,870,416
  5. Step 5: Solve for x
    x = 92,296,870,416/213,736
  6. Step 6: Final answer
    x = 431,826.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.