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Finding the Third Proportional to 226,867 and 489,089

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Solution

The third proportional to 226,867 and 489,089 is: 1,054,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,867 : 489,089 = 489,089 : x
  2. Step 2: Convert to fraction form
    226,867/489,089 = 489,089/x
  3. Step 3: Cross multiply
    226,867x = 489,089 × 489,089
  4. Step 4: Simplify right side
    226,867x = 239,208,049,921
  5. Step 5: Solve for x
    x = 239,208,049,921/226,867
  6. Step 6: Final answer
    x = 1,054,397.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.