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Finding the Third Proportional to 206,928 and 384,318

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Solution

The third proportional to 206,928 and 384,318 is: 713,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,928 : 384,318 = 384,318 : x
  2. Step 2: Convert to fraction form
    206,928/384,318 = 384,318/x
  3. Step 3: Cross multiply
    206,928x = 384,318 × 384,318
  4. Step 4: Simplify right side
    206,928x = 147,700,325,124
  5. Step 5: Solve for x
    x = 147,700,325,124/206,928
  6. Step 6: Final answer
    x = 713,776.41

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.