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Finding the Third Proportional to 45,611.25 and 100,213.50

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Solution

The third proportional to 45,611.25 and 100,213.50 is: 220,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,611.25 : 100,213.50 = 100,213.50 : x
  2. Step 2: Convert to fraction form
    45,611.25/100,213.50 = 100,213.50/x
  3. Step 3: Cross multiply
    45,611.25x = 100,213.50 × 100,213.50
  4. Step 4: Simplify right side
    45,611.25x = 10,042,745,582.25
  5. Step 5: Solve for x
    x = 10,042,745,582.25/45,611.25
  6. Step 6: Final answer
    x = 220,181.33

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