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Finding the Third Proportional to 101,879 and 221,273

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Solution

The third proportional to 101,879 and 221,273 is: 480,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,879 : 221,273 = 221,273 : x
  2. Step 2: Convert to fraction form
    101,879/221,273 = 221,273/x
  3. Step 3: Cross multiply
    101,879x = 221,273 × 221,273
  4. Step 4: Simplify right side
    101,879x = 48,961,740,529
  5. Step 5: Solve for x
    x = 48,961,740,529/101,879
  6. Step 6: Final answer
    x = 480,587.17

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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.