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Finding the Third Proportional to 203,907 and 311,230.50

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Solution

The third proportional to 203,907 and 311,230.50 is: 475,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,907 : 311,230.50 = 311,230.50 : x
  2. Step 2: Convert to fraction form
    203,907/311,230.50 = 311,230.50/x
  3. Step 3: Cross multiply
    203,907x = 311,230.50 × 311,230.50
  4. Step 4: Simplify right side
    203,907x = 96,864,424,130.25
  5. Step 5: Solve for x
    x = 96,864,424,130.25/203,907
  6. Step 6: Final answer
    x = 475,042.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.