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Finding the Third Proportional to 203,137 and 440,174

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Solution

The third proportional to 203,137 and 440,174 is: 953,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,137 : 440,174 = 440,174 : x
  2. Step 2: Convert to fraction form
    203,137/440,174 = 440,174/x
  3. Step 3: Cross multiply
    203,137x = 440,174 × 440,174
  4. Step 4: Simplify right side
    203,137x = 193,753,150,276
  5. Step 5: Solve for x
    x = 193,753,150,276/203,137
  6. Step 6: Final answer
    x = 953,805.32

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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.