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Finding the Third Proportional to 203,116 and 440,131

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Solution

The third proportional to 203,116 and 440,131 is: 953,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,116 : 440,131 = 440,131 : x
  2. Step 2: Convert to fraction form
    203,116/440,131 = 440,131/x
  3. Step 3: Cross multiply
    203,116x = 440,131 × 440,131
  4. Step 4: Simplify right side
    203,116x = 193,715,297,161
  5. Step 5: Solve for x
    x = 193,715,297,161/203,116
  6. Step 6: Final answer
    x = 953,717.57

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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.