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Finding the Third Proportional to 221,479 and 483,555

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Solution

The third proportional to 221,479 and 483,555 is: 1,055,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,479 : 483,555 = 483,555 : x
  2. Step 2: Convert to fraction form
    221,479/483,555 = 483,555/x
  3. Step 3: Cross multiply
    221,479x = 483,555 × 483,555
  4. Step 4: Simplify right side
    221,479x = 233,825,438,025
  5. Step 5: Solve for x
    x = 233,825,438,025/221,479
  6. Step 6: Final answer
    x = 1,055,745.41

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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.