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Finding the Third Proportional to 389,469 and 809,896

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Solution

The third proportional to 389,469 and 809,896 is: 1,684,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,469 : 809,896 = 809,896 : x
  2. Step 2: Convert to fraction form
    389,469/809,896 = 809,896/x
  3. Step 3: Cross multiply
    389,469x = 809,896 × 809,896
  4. Step 4: Simplify right side
    389,469x = 655,931,530,816
  5. Step 5: Solve for x
    x = 655,931,530,816/389,469
  6. Step 6: Final answer
    x = 1,684,168.78

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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.