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Finding the Third Proportional to 203,404 and 437,420

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Solution

The third proportional to 203,404 and 437,420 is: 940,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,404 : 437,420 = 437,420 : x
  2. Step 2: Convert to fraction form
    203,404/437,420 = 437,420/x
  3. Step 3: Cross multiply
    203,404x = 437,420 × 437,420
  4. Step 4: Simplify right side
    203,404x = 191,336,256,400
  5. Step 5: Solve for x
    x = 191,336,256,400/203,404
  6. Step 6: Final answer
    x = 940,671.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.