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Finding the Third Proportional to 420,932 and 641,901

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Solution

The third proportional to 420,932 and 641,901 is: 978,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,932 : 641,901 = 641,901 : x
  2. Step 2: Convert to fraction form
    420,932/641,901 = 641,901/x
  3. Step 3: Cross multiply
    420,932x = 641,901 × 641,901
  4. Step 4: Simplify right side
    420,932x = 412,036,893,801
  5. Step 5: Solve for x
    x = 412,036,893,801/420,932
  6. Step 6: Final answer
    x = 978,868.07

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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.