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Finding the Third Proportional to 383,150.25 and 821,350.13

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Solution

The third proportional to 383,150.25 and 821,350.13 is: 1,760,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,150.25 : 821,350.13 = 821,350.13 : x
  2. Step 2: Convert to fraction form
    383,150.25/821,350.13 = 821,350.13/x
  3. Step 3: Cross multiply
    383,150.25x = 821,350.13 × 821,350.13
  4. Step 4: Simplify right side
    383,150.25x = 674,616,027,837.52
  5. Step 5: Solve for x
    x = 674,616,027,837.52/383,150.25
  6. Step 6: Final answer
    x = 1,760,708.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.