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Finding the Third Proportional to 820,717 and 1,260,723

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Solution

The third proportional to 820,717 and 1,260,723 is: 1,936,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,717 : 1,260,723 = 1,260,723 : x
  2. Step 2: Convert to fraction form
    820,717/1,260,723 = 1,260,723/x
  3. Step 3: Cross multiply
    820,717x = 1,260,723 × 1,260,723
  4. Step 4: Simplify right side
    820,717x = 1,589,422,482,729
  5. Step 5: Solve for x
    x = 1,589,422,482,729/820,717
  6. Step 6: Final answer
    x = 1,936,626.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.