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Finding the Third Proportional to 221,626 and 489,907

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Solution

The third proportional to 221,626 and 489,907 is: 1,082,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,626 : 489,907 = 489,907 : x
  2. Step 2: Convert to fraction form
    221,626/489,907 = 489,907/x
  3. Step 3: Cross multiply
    221,626x = 489,907 × 489,907
  4. Step 4: Simplify right side
    221,626x = 240,008,868,649
  5. Step 5: Solve for x
    x = 240,008,868,649/221,626
  6. Step 6: Final answer
    x = 1,082,945.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.