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Finding the Third Proportional to 509,866 and 809,795

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Solution

The third proportional to 509,866 and 809,795 is: 1,286,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,866 : 809,795 = 809,795 : x
  2. Step 2: Convert to fraction form
    509,866/809,795 = 809,795/x
  3. Step 3: Cross multiply
    509,866x = 809,795 × 809,795
  4. Step 4: Simplify right side
    509,866x = 655,767,942,025
  5. Step 5: Solve for x
    x = 655,767,942,025/509,866
  6. Step 6: Final answer
    x = 1,286,157.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.