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Finding the Third Proportional to 215,934 and 445,698

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Solution

The third proportional to 215,934 and 445,698 is: 919,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,934 : 445,698 = 445,698 : x
  2. Step 2: Convert to fraction form
    215,934/445,698 = 445,698/x
  3. Step 3: Cross multiply
    215,934x = 445,698 × 445,698
  4. Step 4: Simplify right side
    215,934x = 198,646,707,204
  5. Step 5: Solve for x
    x = 198,646,707,204/215,934
  6. Step 6: Final answer
    x = 919,941.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.