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Finding the Third Proportional to 220,991.41 and 327,343.78

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Solution

The third proportional to 220,991.41 and 327,343.78 is: 484,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,991.41 : 327,343.78 = 327,343.78 : x
  2. Step 2: Convert to fraction form
    220,991.41/327,343.78 = 327,343.78/x
  3. Step 3: Cross multiply
    220,991.41x = 327,343.78 × 327,343.78
  4. Step 4: Simplify right side
    220,991.41x = 107,153,951,123.05
  5. Step 5: Solve for x
    x = 107,153,951,123.05/220,991.41
  6. Step 6: Final answer
    x = 484,878.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.