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Finding the Third Proportional to 133,968.94 and 178,589.81

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Solution

The third proportional to 133,968.94 and 178,589.81 is: 238,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,968.94 : 178,589.81 = 178,589.81 : x
  2. Step 2: Convert to fraction form
    133,968.94/178,589.81 = 178,589.81/x
  3. Step 3: Cross multiply
    133,968.94x = 178,589.81 × 178,589.81
  4. Step 4: Simplify right side
    133,968.94x = 31,894,321,128.79
  5. Step 5: Solve for x
    x = 31,894,321,128.79/133,968.94
  6. Step 6: Final answer
    x = 238,072.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.