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Finding the Third Proportional to 99,879.75 and 213,975

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Solution

The third proportional to 99,879.75 and 213,975 is: 458,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,879.75 : 213,975 = 213,975 : x
  2. Step 2: Convert to fraction form
    99,879.75/213,975 = 213,975/x
  3. Step 3: Cross multiply
    99,879.75x = 213,975 × 213,975
  4. Step 4: Simplify right side
    99,879.75x = 45,785,300,625
  5. Step 5: Solve for x
    x = 45,785,300,625/99,879.75
  6. Step 6: Final answer
    x = 458,404.24

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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.