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Finding the Third Proportional to 777,664.50 and 1,691,651.25

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Solution

The third proportional to 777,664.50 and 1,691,651.25 is: 3,679,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,664.50 : 1,691,651.25 = 1,691,651.25 : x
  2. Step 2: Convert to fraction form
    777,664.50/1,691,651.25 = 1,691,651.25/x
  3. Step 3: Cross multiply
    777,664.50x = 1,691,651.25 × 1,691,651.25
  4. Step 4: Simplify right side
    777,664.50x = 2,861,683,951,626.56
  5. Step 5: Solve for x
    x = 2,861,683,951,626.56/777,664.50
  6. Step 6: Final answer
    x = 3,679,843.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.