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Finding the Third Proportional to 509,726 and 809,790

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Solution

The third proportional to 509,726 and 809,790 is: 1,286,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,726 : 809,790 = 809,790 : x
  2. Step 2: Convert to fraction form
    509,726/809,790 = 809,790/x
  3. Step 3: Cross multiply
    509,726x = 809,790 × 809,790
  4. Step 4: Simplify right side
    509,726x = 655,759,844,100
  5. Step 5: Solve for x
    x = 655,759,844,100/509,726
  6. Step 6: Final answer
    x = 1,286,494.79

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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.