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Finding the Third Proportional to 197,268 and 305,109

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Solution

The third proportional to 197,268 and 305,109 is: 471,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,268 : 305,109 = 305,109 : x
  2. Step 2: Convert to fraction form
    197,268/305,109 = 305,109/x
  3. Step 3: Cross multiply
    197,268x = 305,109 × 305,109
  4. Step 4: Simplify right side
    197,268x = 93,091,501,881
  5. Step 5: Solve for x
    x = 93,091,501,881/197,268
  6. Step 6: Final answer
    x = 471,903.71

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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.