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Finding the Third Proportional to 128,364.75 and 192,945.38

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Solution

The third proportional to 128,364.75 and 192,945.38 is: 290,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,364.75 : 192,945.38 = 192,945.38 : x
  2. Step 2: Convert to fraction form
    128,364.75/192,945.38 = 192,945.38/x
  3. Step 3: Cross multiply
    128,364.75x = 192,945.38 × 192,945.38
  4. Step 4: Simplify right side
    128,364.75x = 37,227,917,733.89
  5. Step 5: Solve for x
    x = 37,227,917,733.89/128,364.75
  6. Step 6: Final answer
    x = 290,016.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.