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Finding the Third Proportional to 228,047 and 489,302

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Solution

The third proportional to 228,047 and 489,302 is: 1,049,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047 : 489,302 = 489,302 : x
  2. Step 2: Convert to fraction form
    228,047/489,302 = 489,302/x
  3. Step 3: Cross multiply
    228,047x = 489,302 × 489,302
  4. Step 4: Simplify right side
    228,047x = 239,416,447,204
  5. Step 5: Solve for x
    x = 239,416,447,204/228,047
  6. Step 6: Final answer
    x = 1,049,855.72

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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.