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Finding the Third Proportional to 197,938 and 305,800

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Solution

The third proportional to 197,938 and 305,800 is: 472,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,938 : 305,800 = 305,800 : x
  2. Step 2: Convert to fraction form
    197,938/305,800 = 305,800/x
  3. Step 3: Cross multiply
    197,938x = 305,800 × 305,800
  4. Step 4: Simplify right side
    197,938x = 93,513,640,000
  5. Step 5: Solve for x
    x = 93,513,640,000/197,938
  6. Step 6: Final answer
    x = 472,439.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.