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Finding the Third Proportional to 228,049 and 489,306

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Solution

The third proportional to 228,049 and 489,306 is: 1,049,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,049 : 489,306 = 489,306 : x
  2. Step 2: Convert to fraction form
    228,049/489,306 = 489,306/x
  3. Step 3: Cross multiply
    228,049x = 489,306 × 489,306
  4. Step 4: Simplify right side
    228,049x = 239,420,361,636
  5. Step 5: Solve for x
    x = 239,420,361,636/228,049
  6. Step 6: Final answer
    x = 1,049,863.68

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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.