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Finding the Third Proportional to 133,233.75 and 204,792.75

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Solution

The third proportional to 133,233.75 and 204,792.75 is: 314,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,233.75 : 204,792.75 = 204,792.75 : x
  2. Step 2: Convert to fraction form
    133,233.75/204,792.75 = 204,792.75/x
  3. Step 3: Cross multiply
    133,233.75x = 204,792.75 × 204,792.75
  4. Step 4: Simplify right side
    133,233.75x = 41,940,070,452.56
  5. Step 5: Solve for x
    x = 41,940,070,452.56/133,233.75
  6. Step 6: Final answer
    x = 314,785.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.