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Finding the Third Proportional to 381,360 and 821,832

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Solution

The third proportional to 381,360 and 821,832 is: 1,771,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,360 : 821,832 = 821,832 : x
  2. Step 2: Convert to fraction form
    381,360/821,832 = 821,832/x
  3. Step 3: Cross multiply
    381,360x = 821,832 × 821,832
  4. Step 4: Simplify right side
    381,360x = 675,407,836,224
  5. Step 5: Solve for x
    x = 675,407,836,224/381,360
  6. Step 6: Final answer
    x = 1,771,050.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.