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Finding the Third Proportional to 420,956 and 641,940

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Solution

The third proportional to 420,956 and 641,940 is: 978,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,956 : 641,940 = 641,940 : x
  2. Step 2: Convert to fraction form
    420,956/641,940 = 641,940/x
  3. Step 3: Cross multiply
    420,956x = 641,940 × 641,940
  4. Step 4: Simplify right side
    420,956x = 412,086,963,600
  5. Step 5: Solve for x
    x = 412,086,963,600/420,956
  6. Step 6: Final answer
    x = 978,931.20

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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.