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Finding the Third Proportional to 508,729 and 809,794

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Solution

The third proportional to 508,729 and 809,794 is: 1,289,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,729 : 809,794 = 809,794 : x
  2. Step 2: Convert to fraction form
    508,729/809,794 = 809,794/x
  3. Step 3: Cross multiply
    508,729x = 809,794 × 809,794
  4. Step 4: Simplify right side
    508,729x = 655,766,322,436
  5. Step 5: Solve for x
    x = 655,766,322,436/508,729
  6. Step 6: Final answer
    x = 1,289,028.78

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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.