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Finding the Third Proportional to 380,151 and 823,041

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Solution

The third proportional to 380,151 and 823,041 is: 1,781,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,151 : 823,041 = 823,041 : x
  2. Step 2: Convert to fraction form
    380,151/823,041 = 823,041/x
  3. Step 3: Cross multiply
    380,151x = 823,041 × 823,041
  4. Step 4: Simplify right side
    380,151x = 677,396,487,681
  5. Step 5: Solve for x
    x = 677,396,487,681/380,151
  6. Step 6: Final answer
    x = 1,781,914.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.