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Finding the Third Proportional to 222,427.50 and 489,081

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Solution

The third proportional to 222,427.50 and 489,081 is: 1,075,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,427.50 : 489,081 = 489,081 : x
  2. Step 2: Convert to fraction form
    222,427.50/489,081 = 489,081/x
  3. Step 3: Cross multiply
    222,427.50x = 489,081 × 489,081
  4. Step 4: Simplify right side
    222,427.50x = 239,200,224,561
  5. Step 5: Solve for x
    x = 239,200,224,561/222,427.50
  6. Step 6: Final answer
    x = 1,075,407.60

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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.