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Finding the Third Proportional to 221,946.33 and 489,136.22

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Solution

The third proportional to 221,946.33 and 489,136.22 is: 1,077,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,946.33 : 489,136.22 = 489,136.22 : x
  2. Step 2: Convert to fraction form
    221,946.33/489,136.22 = 489,136.22/x
  3. Step 3: Cross multiply
    221,946.33x = 489,136.22 × 489,136.22
  4. Step 4: Simplify right side
    221,946.33x = 239,254,240,493.05
  5. Step 5: Solve for x
    x = 239,254,240,493.05/221,946.33
  6. Step 6: Final answer
    x = 1,077,982.42

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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.