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Finding the Third Proportional to 221,377 and 489,268

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Solution

The third proportional to 221,377 and 489,268 is: 1,081,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,377 : 489,268 = 489,268 : x
  2. Step 2: Convert to fraction form
    221,377/489,268 = 489,268/x
  3. Step 3: Cross multiply
    221,377x = 489,268 × 489,268
  4. Step 4: Simplify right side
    221,377x = 239,383,175,824
  5. Step 5: Solve for x
    x = 239,383,175,824/221,377
  6. Step 6: Final answer
    x = 1,081,337.16

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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.