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Finding the Third Proportional to 420,934 and 641,904

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Solution

The third proportional to 420,934 and 641,904 is: 978,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,934 : 641,904 = 641,904 : x
  2. Step 2: Convert to fraction form
    420,934/641,904 = 641,904/x
  3. Step 3: Cross multiply
    420,934x = 641,904 × 641,904
  4. Step 4: Simplify right side
    420,934x = 412,040,745,216
  5. Step 5: Solve for x
    x = 412,040,745,216/420,934
  6. Step 6: Final answer
    x = 978,872.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.