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Finding the Third Proportional to 122,139.75 and 188,745.75

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Solution

The third proportional to 122,139.75 and 188,745.75 is: 291,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,139.75 : 188,745.75 = 188,745.75 : x
  2. Step 2: Convert to fraction form
    122,139.75/188,745.75 = 188,745.75/x
  3. Step 3: Cross multiply
    122,139.75x = 188,745.75 × 188,745.75
  4. Step 4: Simplify right side
    122,139.75x = 35,624,958,143.06
  5. Step 5: Solve for x
    x = 35,624,958,143.06/122,139.75
  6. Step 6: Final answer
    x = 291,673.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.