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Finding the Third Proportional to 100,122.75 and 219,958.88

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Solution

The third proportional to 100,122.75 and 219,958.88 is: 483,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.75 : 219,958.88 = 219,958.88 : x
  2. Step 2: Convert to fraction form
    100,122.75/219,958.88 = 219,958.88/x
  3. Step 3: Cross multiply
    100,122.75x = 219,958.88 × 219,958.88
  4. Step 4: Simplify right side
    100,122.75x = 48,381,906,691.27
  5. Step 5: Solve for x
    x = 48,381,906,691.27/100,122.75
  6. Step 6: Final answer
    x = 483,225.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.