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Finding the Third Proportional to 105,571.50 and 219,879.75

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Solution

The third proportional to 105,571.50 and 219,879.75 is: 457,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,571.50 : 219,879.75 = 219,879.75 : x
  2. Step 2: Convert to fraction form
    105,571.50/219,879.75 = 219,879.75/x
  3. Step 3: Cross multiply
    105,571.50x = 219,879.75 × 219,879.75
  4. Step 4: Simplify right side
    105,571.50x = 48,347,104,460.06
  5. Step 5: Solve for x
    x = 48,347,104,460.06/105,571.50
  6. Step 6: Final answer
    x = 457,956.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.