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Finding the Third Proportional to 205,456 and 448,286

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Solution

The third proportional to 205,456 and 448,286 is: 978,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,456 : 448,286 = 448,286 : x
  2. Step 2: Convert to fraction form
    205,456/448,286 = 448,286/x
  3. Step 3: Cross multiply
    205,456x = 448,286 × 448,286
  4. Step 4: Simplify right side
    205,456x = 200,960,337,796
  5. Step 5: Solve for x
    x = 200,960,337,796/205,456
  6. Step 6: Final answer
    x = 978,118.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.