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Finding the Third Proportional to 203,012 and 437,128

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Solution

The third proportional to 203,012 and 437,128 is: 941,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,012 : 437,128 = 437,128 : x
  2. Step 2: Convert to fraction form
    203,012/437,128 = 437,128/x
  3. Step 3: Cross multiply
    203,012x = 437,128 × 437,128
  4. Step 4: Simplify right side
    203,012x = 191,080,888,384
  5. Step 5: Solve for x
    x = 191,080,888,384/203,012
  6. Step 6: Final answer
    x = 941,229.53

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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.