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Finding the Third Proportional to 133,231.88 and 285,456.75

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Solution

The third proportional to 133,231.88 and 285,456.75 is: 611,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,231.88 : 285,456.75 = 285,456.75 : x
  2. Step 2: Convert to fraction form
    133,231.88/285,456.75 = 285,456.75/x
  3. Step 3: Cross multiply
    133,231.88x = 285,456.75 × 285,456.75
  4. Step 4: Simplify right side
    133,231.88x = 81,485,556,120.56
  5. Step 5: Solve for x
    x = 81,485,556,120.56/133,231.88
  6. Step 6: Final answer
    x = 611,607.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.