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Finding the Third Proportional to 227,938 and 489,105

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Solution

The third proportional to 227,938 and 489,105 is: 1,049,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,938 : 489,105 = 489,105 : x
  2. Step 2: Convert to fraction form
    227,938/489,105 = 489,105/x
  3. Step 3: Cross multiply
    227,938x = 489,105 × 489,105
  4. Step 4: Simplify right side
    227,938x = 239,223,701,025
  5. Step 5: Solve for x
    x = 239,223,701,025/227,938
  6. Step 6: Final answer
    x = 1,049,512.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.