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Finding the Third Proportional to 381,978 and 809,489.81

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Solution

The third proportional to 381,978 and 809,489.81 is: 1,715,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,978 : 809,489.81 = 809,489.81 : x
  2. Step 2: Convert to fraction form
    381,978/809,489.81 = 809,489.81/x
  3. Step 3: Cross multiply
    381,978x = 809,489.81 × 809,489.81
  4. Step 4: Simplify right side
    381,978x = 655,273,756,541.29
  5. Step 5: Solve for x
    x = 655,273,756,541.29/381,978
  6. Step 6: Final answer
    x = 1,715,475.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.