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Finding the Third Proportional to 203,126 and 440,152

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Solution

The third proportional to 203,126 and 440,152 is: 953,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,126 : 440,152 = 440,152 : x
  2. Step 2: Convert to fraction form
    203,126/440,152 = 440,152/x
  3. Step 3: Cross multiply
    203,126x = 440,152 × 440,152
  4. Step 4: Simplify right side
    203,126x = 193,733,783,104
  5. Step 5: Solve for x
    x = 193,733,783,104/203,126
  6. Step 6: Final answer
    x = 953,761.62

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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.