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Finding the Third Proportional to 222,434 and 489,147.50

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Solution

The third proportional to 222,434 and 489,147.50 is: 1,075,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,434 : 489,147.50 = 489,147.50 : x
  2. Step 2: Convert to fraction form
    222,434/489,147.50 = 489,147.50/x
  3. Step 3: Cross multiply
    222,434x = 489,147.50 × 489,147.50
  4. Step 4: Simplify right side
    222,434x = 239,265,276,756.25
  5. Step 5: Solve for x
    x = 239,265,276,756.25/222,434
  6. Step 6: Final answer
    x = 1,075,668.63

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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.