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Finding the Third Proportional to 50,128.38 and 111,464.63

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Solution

The third proportional to 50,128.38 and 111,464.63 is: 247,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,128.38 : 111,464.63 = 111,464.63 : x
  2. Step 2: Convert to fraction form
    50,128.38/111,464.63 = 111,464.63/x
  3. Step 3: Cross multiply
    50,128.38x = 111,464.63 × 111,464.63
  4. Step 4: Simplify right side
    50,128.38x = 12,424,362,626.39
  5. Step 5: Solve for x
    x = 12,424,362,626.39/50,128.38
  6. Step 6: Final answer
    x = 247,850.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.