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Finding the Third Proportional to 381,986 and 809,506

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Solution

The third proportional to 381,986 and 809,506 is: 1,715,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,986 : 809,506 = 809,506 : x
  2. Step 2: Convert to fraction form
    381,986/809,506 = 809,506/x
  3. Step 3: Cross multiply
    381,986x = 809,506 × 809,506
  4. Step 4: Simplify right side
    381,986x = 655,299,964,036
  5. Step 5: Solve for x
    x = 655,299,964,036/381,986
  6. Step 6: Final answer
    x = 1,715,507.80

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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.