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Finding the Third Proportional to 139,785.75 and 190,410.75

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Solution

The third proportional to 139,785.75 and 190,410.75 is: 259,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,785.75 : 190,410.75 = 190,410.75 : x
  2. Step 2: Convert to fraction form
    139,785.75/190,410.75 = 190,410.75/x
  3. Step 3: Cross multiply
    139,785.75x = 190,410.75 × 190,410.75
  4. Step 4: Simplify right side
    139,785.75x = 36,256,253,715.56
  5. Step 5: Solve for x
    x = 36,256,253,715.56/139,785.75
  6. Step 6: Final answer
    x = 259,370.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.