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Finding the Third Proportional to 420,950 and 641,931

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Solution

The third proportional to 420,950 and 641,931 is: 978,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,950 : 641,931 = 641,931 : x
  2. Step 2: Convert to fraction form
    420,950/641,931 = 641,931/x
  3. Step 3: Cross multiply
    420,950x = 641,931 × 641,931
  4. Step 4: Simplify right side
    420,950x = 412,075,408,761
  5. Step 5: Solve for x
    x = 412,075,408,761/420,950
  6. Step 6: Final answer
    x = 978,917.71

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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.