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Finding the Third Proportional to 221,260.50 and 489,029

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Solution

The third proportional to 221,260.50 and 489,029 is: 1,080,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,260.50 : 489,029 = 489,029 : x
  2. Step 2: Convert to fraction form
    221,260.50/489,029 = 489,029/x
  3. Step 3: Cross multiply
    221,260.50x = 489,029 × 489,029
  4. Step 4: Simplify right side
    221,260.50x = 239,149,362,841
  5. Step 5: Solve for x
    x = 239,149,362,841/221,260.50
  6. Step 6: Final answer
    x = 1,080,849.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.