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Finding the Third Proportional to 22,936.50 and 33,135.75

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Solution

The third proportional to 22,936.50 and 33,135.75 is: 47,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936.50 : 33,135.75 = 33,135.75 : x
  2. Step 2: Convert to fraction form
    22,936.50/33,135.75 = 33,135.75/x
  3. Step 3: Cross multiply
    22,936.50x = 33,135.75 × 33,135.75
  4. Step 4: Simplify right side
    22,936.50x = 1,097,977,928.06
  5. Step 5: Solve for x
    x = 1,097,977,928.06/22,936.50
  6. Step 6: Final answer
    x = 47,870.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.