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Finding the Third Proportional to 225,213 and 489,366

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Solution

The third proportional to 225,213 and 489,366 is: 1,063,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,213 : 489,366 = 489,366 : x
  2. Step 2: Convert to fraction form
    225,213/489,366 = 489,366/x
  3. Step 3: Cross multiply
    225,213x = 489,366 × 489,366
  4. Step 4: Simplify right side
    225,213x = 239,479,081,956
  5. Step 5: Solve for x
    x = 239,479,081,956/225,213
  6. Step 6: Final answer
    x = 1,063,344.84

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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.