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Finding the Third Proportional to 383,478 and 825,822

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Solution

The third proportional to 383,478 and 825,822 is: 1,778,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,478 : 825,822 = 825,822 : x
  2. Step 2: Convert to fraction form
    383,478/825,822 = 825,822/x
  3. Step 3: Cross multiply
    383,478x = 825,822 × 825,822
  4. Step 4: Simplify right side
    383,478x = 681,981,975,684
  5. Step 5: Solve for x
    x = 681,981,975,684/383,478
  6. Step 6: Final answer
    x = 1,778,412.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.