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Finding the Third Proportional to 420,954 and 641,937

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Solution

The third proportional to 420,954 and 641,937 is: 978,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,954 : 641,937 = 641,937 : x
  2. Step 2: Convert to fraction form
    420,954/641,937 = 641,937/x
  3. Step 3: Cross multiply
    420,954x = 641,937 × 641,937
  4. Step 4: Simplify right side
    420,954x = 412,083,111,969
  5. Step 5: Solve for x
    x = 412,083,111,969/420,954
  6. Step 6: Final answer
    x = 978,926.70

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