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Finding the Third Proportional to 222,425 and 489,121.50

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Solution

The third proportional to 222,425 and 489,121.50 is: 1,075,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,425 : 489,121.50 = 489,121.50 : x
  2. Step 2: Convert to fraction form
    222,425/489,121.50 = 489,121.50/x
  3. Step 3: Cross multiply
    222,425x = 489,121.50 × 489,121.50
  4. Step 4: Simplify right side
    222,425x = 239,239,841,762.25
  5. Step 5: Solve for x
    x = 239,239,841,762.25/222,425
  6. Step 6: Final answer
    x = 1,075,597.80

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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.