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Finding the Third Proportional to 221,554 and 483,208

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Solution

The third proportional to 221,554 and 483,208 is: 1,053,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,554 : 483,208 = 483,208 : x
  2. Step 2: Convert to fraction form
    221,554/483,208 = 483,208/x
  3. Step 3: Cross multiply
    221,554x = 483,208 × 483,208
  4. Step 4: Simplify right side
    221,554x = 233,489,971,264
  5. Step 5: Solve for x
    x = 233,489,971,264/221,554
  6. Step 6: Final answer
    x = 1,053,873.87

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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.