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Finding the Third Proportional to 221,208 and 483,811

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Solution

The third proportional to 221,208 and 483,811 is: 1,058,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,208 : 483,811 = 483,811 : x
  2. Step 2: Convert to fraction form
    221,208/483,811 = 483,811/x
  3. Step 3: Cross multiply
    221,208x = 483,811 × 483,811
  4. Step 4: Simplify right side
    221,208x = 234,073,083,721
  5. Step 5: Solve for x
    x = 234,073,083,721/221,208
  6. Step 6: Final answer
    x = 1,058,158.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.