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Finding the Third Proportional to 133,245 and 271,842.33

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Solution

The third proportional to 133,245 and 271,842.33 is: 554,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,245 : 271,842.33 = 271,842.33 : x
  2. Step 2: Convert to fraction form
    133,245/271,842.33 = 271,842.33/x
  3. Step 3: Cross multiply
    133,245x = 271,842.33 × 271,842.33
  4. Step 4: Simplify right side
    133,245x = 73,898,251,360.42
  5. Step 5: Solve for x
    x = 73,898,251,360.42/133,245
  6. Step 6: Final answer
    x = 554,604.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.