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Finding the Third Proportional to 221,552 and 483,204

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Solution

The third proportional to 221,552 and 483,204 is: 1,053,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,552 : 483,204 = 483,204 : x
  2. Step 2: Convert to fraction form
    221,552/483,204 = 483,204/x
  3. Step 3: Cross multiply
    221,552x = 483,204 × 483,204
  4. Step 4: Simplify right side
    221,552x = 233,486,105,616
  5. Step 5: Solve for x
    x = 233,486,105,616/221,552
  6. Step 6: Final answer
    x = 1,053,865.93

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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.