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Finding the Third Proportional to 227,515 and 489,374

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Solution

The third proportional to 227,515 and 489,374 is: 1,052,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,515 : 489,374 = 489,374 : x
  2. Step 2: Convert to fraction form
    227,515/489,374 = 489,374/x
  3. Step 3: Cross multiply
    227,515x = 489,374 × 489,374
  4. Step 4: Simplify right side
    227,515x = 239,486,911,876
  5. Step 5: Solve for x
    x = 239,486,911,876/227,515
  6. Step 6: Final answer
    x = 1,052,620.32

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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.