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Finding the Third Proportional to 382,020 and 809,568

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Solution

The third proportional to 382,020 and 809,568 is: 1,715,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,020 : 809,568 = 809,568 : x
  2. Step 2: Convert to fraction form
    382,020/809,568 = 809,568/x
  3. Step 3: Cross multiply
    382,020x = 809,568 × 809,568
  4. Step 4: Simplify right side
    382,020x = 655,400,346,624
  5. Step 5: Solve for x
    x = 655,400,346,624/382,020
  6. Step 6: Final answer
    x = 1,715,617.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.