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Finding the Third Proportional to 203,824 and 416,720

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Solution

The third proportional to 203,824 and 416,720 is: 851,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,824 : 416,720 = 416,720 : x
  2. Step 2: Convert to fraction form
    203,824/416,720 = 416,720/x
  3. Step 3: Cross multiply
    203,824x = 416,720 × 416,720
  4. Step 4: Simplify right side
    203,824x = 173,655,558,400
  5. Step 5: Solve for x
    x = 173,655,558,400/203,824
  6. Step 6: Final answer
    x = 851,987.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.