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Finding the Third Proportional to 222,366 and 489,014.50

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Solution

The third proportional to 222,366 and 489,014.50 is: 1,075,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,366 : 489,014.50 = 489,014.50 : x
  2. Step 2: Convert to fraction form
    222,366/489,014.50 = 489,014.50/x
  3. Step 3: Cross multiply
    222,366x = 489,014.50 × 489,014.50
  4. Step 4: Simplify right side
    222,366x = 239,135,181,210.25
  5. Step 5: Solve for x
    x = 239,135,181,210.25/222,366
  6. Step 6: Final answer
    x = 1,075,412.52

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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.