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Finding the Third Proportional to 13,653.56 and 33,211.27

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Solution

The third proportional to 13,653.56 and 33,211.27 is: 80,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.56 : 33,211.27 = 33,211.27 : x
  2. Step 2: Convert to fraction form
    13,653.56/33,211.27 = 33,211.27/x
  3. Step 3: Cross multiply
    13,653.56x = 33,211.27 × 33,211.27
  4. Step 4: Simplify right side
    13,653.56x = 1,102,988,164.41
  5. Step 5: Solve for x
    x = 1,102,988,164.41/13,653.56
  6. Step 6: Final answer
    x = 80,783.91

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.