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Finding the Third Proportional to 203,365 and 309,193

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Solution

The third proportional to 203,365 and 309,193 is: 470,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,365 : 309,193 = 309,193 : x
  2. Step 2: Convert to fraction form
    203,365/309,193 = 309,193/x
  3. Step 3: Cross multiply
    203,365x = 309,193 × 309,193
  4. Step 4: Simplify right side
    203,365x = 95,600,311,249
  5. Step 5: Solve for x
    x = 95,600,311,249/203,365
  6. Step 6: Final answer
    x = 470,092.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.