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Finding the Third Proportional to 133,845.75 and 178,440.75

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Solution

The third proportional to 133,845.75 and 178,440.75 is: 237,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,845.75 : 178,440.75 = 178,440.75 : x
  2. Step 2: Convert to fraction form
    133,845.75/178,440.75 = 178,440.75/x
  3. Step 3: Cross multiply
    133,845.75x = 178,440.75 × 178,440.75
  4. Step 4: Simplify right side
    133,845.75x = 31,841,101,260.56
  5. Step 5: Solve for x
    x = 31,841,101,260.56/133,845.75
  6. Step 6: Final answer
    x = 237,894.00

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