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Finding the Third Proportional to 218,322 and 479,493

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Solution

The third proportional to 218,322 and 479,493 is: 1,053,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,322 : 479,493 = 479,493 : x
  2. Step 2: Convert to fraction form
    218,322/479,493 = 479,493/x
  3. Step 3: Cross multiply
    218,322x = 479,493 × 479,493
  4. Step 4: Simplify right side
    218,322x = 229,913,537,049
  5. Step 5: Solve for x
    x = 229,913,537,049/218,322
  6. Step 6: Final answer
    x = 1,053,093.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.