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Finding the Third Proportional to 33,010.03 and 68,548.78

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Solution

The third proportional to 33,010.03 and 68,548.78 is: 142,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010.03 : 68,548.78 = 68,548.78 : x
  2. Step 2: Convert to fraction form
    33,010.03/68,548.78 = 68,548.78/x
  3. Step 3: Cross multiply
    33,010.03x = 68,548.78 × 68,548.78
  4. Step 4: Simplify right side
    33,010.03x = 4,698,935,410.86
  5. Step 5: Solve for x
    x = 4,698,935,410.86/33,010.03
  6. Step 6: Final answer
    x = 142,348.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.