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Finding the Third Proportional to 389,671 and 809,955

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Solution

The third proportional to 389,671 and 809,955 is: 1,683,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,671 : 809,955 = 809,955 : x
  2. Step 2: Convert to fraction form
    389,671/809,955 = 809,955/x
  3. Step 3: Cross multiply
    389,671x = 809,955 × 809,955
  4. Step 4: Simplify right side
    389,671x = 656,027,102,025
  5. Step 5: Solve for x
    x = 656,027,102,025/389,671
  6. Step 6: Final answer
    x = 1,683,540.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.