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Finding the Third Proportional to 222,369 and 489,020

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Solution

The third proportional to 222,369 and 489,020 is: 1,075,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,369 : 489,020 = 489,020 : x
  2. Step 2: Convert to fraction form
    222,369/489,020 = 489,020/x
  3. Step 3: Cross multiply
    222,369x = 489,020 × 489,020
  4. Step 4: Simplify right side
    222,369x = 239,140,560,400
  5. Step 5: Solve for x
    x = 239,140,560,400/222,369
  6. Step 6: Final answer
    x = 1,075,422.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.