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Finding the Third Proportional to 420,952 and 641,934

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Solution

The third proportional to 420,952 and 641,934 is: 978,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,952 : 641,934 = 641,934 : x
  2. Step 2: Convert to fraction form
    420,952/641,934 = 641,934/x
  3. Step 3: Cross multiply
    420,952x = 641,934 × 641,934
  4. Step 4: Simplify right side
    420,952x = 412,079,260,356
  5. Step 5: Solve for x
    x = 412,079,260,356/420,952
  6. Step 6: Final answer
    x = 978,922.21

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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.