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Finding the Third Proportional to 133,192 and 236,800

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Solution

The third proportional to 133,192 and 236,800 is: 421,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,192 : 236,800 = 236,800 : x
  2. Step 2: Convert to fraction form
    133,192/236,800 = 236,800/x
  3. Step 3: Cross multiply
    133,192x = 236,800 × 236,800
  4. Step 4: Simplify right side
    133,192x = 56,074,240,000
  5. Step 5: Solve for x
    x = 56,074,240,000/133,192
  6. Step 6: Final answer
    x = 421,003.06

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.