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Finding the Third Proportional to 225,220 and 489,379

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Solution

The third proportional to 225,220 and 489,379 is: 1,063,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,220 : 489,379 = 489,379 : x
  2. Step 2: Convert to fraction form
    225,220/489,379 = 489,379/x
  3. Step 3: Cross multiply
    225,220x = 489,379 × 489,379
  4. Step 4: Simplify right side
    225,220x = 239,491,805,641
  5. Step 5: Solve for x
    x = 239,491,805,641/225,220
  6. Step 6: Final answer
    x = 1,063,368.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.