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Finding the Third Proportional to 4,900.75 and 10,611.50

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Solution

The third proportional to 4,900.75 and 10,611.50 is: 22,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.75 : 10,611.50 = 10,611.50 : x
  2. Step 2: Convert to fraction form
    4,900.75/10,611.50 = 10,611.50/x
  3. Step 3: Cross multiply
    4,900.75x = 10,611.50 × 10,611.50
  4. Step 4: Simplify right side
    4,900.75x = 112,603,932.25
  5. Step 5: Solve for x
    x = 112,603,932.25/4,900.75
  6. Step 6: Final answer
    x = 22,976.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.