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Finding the Third Proportional to 50,303 and 109,192

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Solution

The third proportional to 50,303 and 109,192 is: 237,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303 : 109,192 = 109,192 : x
  2. Step 2: Convert to fraction form
    50,303/109,192 = 109,192/x
  3. Step 3: Cross multiply
    50,303x = 109,192 × 109,192
  4. Step 4: Simplify right side
    50,303x = 11,922,892,864
  5. Step 5: Solve for x
    x = 11,922,892,864/50,303
  6. Step 6: Final answer
    x = 237,021.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.