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Finding the Third Proportional to 222,414 and 489,098

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Solution

The third proportional to 222,414 and 489,098 is: 1,075,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,414 : 489,098 = 489,098 : x
  2. Step 2: Convert to fraction form
    222,414/489,098 = 489,098/x
  3. Step 3: Cross multiply
    222,414x = 489,098 × 489,098
  4. Step 4: Simplify right side
    222,414x = 239,216,853,604
  5. Step 5: Solve for x
    x = 239,216,853,604/222,414
  6. Step 6: Final answer
    x = 1,075,547.64

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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.