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Finding the Third Proportional to 379,039 and 821,100

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Solution

The third proportional to 379,039 and 821,100 is: 1,778,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,039 : 821,100 = 821,100 : x
  2. Step 2: Convert to fraction form
    379,039/821,100 = 821,100/x
  3. Step 3: Cross multiply
    379,039x = 821,100 × 821,100
  4. Step 4: Simplify right side
    379,039x = 674,205,210,000
  5. Step 5: Solve for x
    x = 674,205,210,000/379,039
  6. Step 6: Final answer
    x = 1,778,722.53

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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.