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Finding the Third Proportional to 23,763 and 33,222.75

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Solution

The third proportional to 23,763 and 33,222.75 is: 46,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763 : 33,222.75 = 33,222.75 : x
  2. Step 2: Convert to fraction form
    23,763/33,222.75 = 33,222.75/x
  3. Step 3: Cross multiply
    23,763x = 33,222.75 × 33,222.75
  4. Step 4: Simplify right side
    23,763x = 1,103,751,117.56
  5. Step 5: Solve for x
    x = 1,103,751,117.56/23,763
  6. Step 6: Final answer
    x = 46,448.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.