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Finding the Third Proportional to 508,722 and 809,790

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Solution

The third proportional to 508,722 and 809,790 is: 1,289,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,722 : 809,790 = 809,790 : x
  2. Step 2: Convert to fraction form
    508,722/809,790 = 809,790/x
  3. Step 3: Cross multiply
    508,722x = 809,790 × 809,790
  4. Step 4: Simplify right side
    508,722x = 655,759,844,100
  5. Step 5: Solve for x
    x = 655,759,844,100/508,722
  6. Step 6: Final answer
    x = 1,289,033.78

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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.