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Finding the Third Proportional to 285,879.75 and 381,120.75

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Solution

The third proportional to 285,879.75 and 381,120.75 is: 508,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,879.75 : 381,120.75 = 381,120.75 : x
  2. Step 2: Convert to fraction form
    285,879.75/381,120.75 = 381,120.75/x
  3. Step 3: Cross multiply
    285,879.75x = 381,120.75 × 381,120.75
  4. Step 4: Simplify right side
    285,879.75x = 145,253,026,080.56
  5. Step 5: Solve for x
    x = 145,253,026,080.56/285,879.75
  6. Step 6: Final answer
    x = 508,091.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.