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Finding the Third Proportional to 133,758 and 183,414.38

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Solution

The third proportional to 133,758 and 183,414.38 is: 251,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,758 : 183,414.38 = 183,414.38 : x
  2. Step 2: Convert to fraction form
    133,758/183,414.38 = 183,414.38/x
  3. Step 3: Cross multiply
    133,758x = 183,414.38 × 183,414.38
  4. Step 4: Simplify right side
    133,758x = 33,640,832,956.64
  5. Step 5: Solve for x
    x = 33,640,832,956.64/133,758
  6. Step 6: Final answer
    x = 251,505.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.