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Finding the Third Proportional to 279,958 and 434,204

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Solution

The third proportional to 279,958 and 434,204 is: 673,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,958 : 434,204 = 434,204 : x
  2. Step 2: Convert to fraction form
    279,958/434,204 = 434,204/x
  3. Step 3: Cross multiply
    279,958x = 434,204 × 434,204
  4. Step 4: Simplify right side
    279,958x = 188,533,113,616
  5. Step 5: Solve for x
    x = 188,533,113,616/279,958
  6. Step 6: Final answer
    x = 673,433.56

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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.