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Finding the Third Proportional to 126,152.44 and 192,921.75

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Solution

The third proportional to 126,152.44 and 192,921.75 is: 295,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,152.44 : 192,921.75 = 192,921.75 : x
  2. Step 2: Convert to fraction form
    126,152.44/192,921.75 = 192,921.75/x
  3. Step 3: Cross multiply
    126,152.44x = 192,921.75 × 192,921.75
  4. Step 4: Simplify right side
    126,152.44x = 37,218,801,623.06
  5. Step 5: Solve for x
    x = 37,218,801,623.06/126,152.44
  6. Step 6: Final answer
    x = 295,030.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.