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Finding the Third Proportional to 213,696 and 303,744

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Solution

The third proportional to 213,696 and 303,744 is: 431,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,696 : 303,744 = 303,744 : x
  2. Step 2: Convert to fraction form
    213,696/303,744 = 303,744/x
  3. Step 3: Cross multiply
    213,696x = 303,744 × 303,744
  4. Step 4: Simplify right side
    213,696x = 92,260,417,536
  5. Step 5: Solve for x
    x = 92,260,417,536/213,696
  6. Step 6: Final answer
    x = 431,736.75

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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.