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Finding the Third Proportional to 139,738.50 and 197,538.75

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Solution

The third proportional to 139,738.50 and 197,538.75 is: 279,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,738.50 : 197,538.75 = 197,538.75 : x
  2. Step 2: Convert to fraction form
    139,738.50/197,538.75 = 197,538.75/x
  3. Step 3: Cross multiply
    139,738.50x = 197,538.75 × 197,538.75
  4. Step 4: Simplify right side
    139,738.50x = 39,021,557,751.56
  5. Step 5: Solve for x
    x = 39,021,557,751.56/139,738.50
  6. Step 6: Final answer
    x = 279,247.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.