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Finding the Third Proportional to 203,015 and 440,631

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Solution

The third proportional to 203,015 and 440,631 is: 956,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,015 : 440,631 = 440,631 : x
  2. Step 2: Convert to fraction form
    203,015/440,631 = 440,631/x
  3. Step 3: Cross multiply
    203,015x = 440,631 × 440,631
  4. Step 4: Simplify right side
    203,015x = 194,155,678,161
  5. Step 5: Solve for x
    x = 194,155,678,161/203,015
  6. Step 6: Final answer
    x = 956,361.25

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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.