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Finding the Third Proportional to 102,367 and 222,419

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Solution

The third proportional to 102,367 and 222,419 is: 483,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,367 : 222,419 = 222,419 : x
  2. Step 2: Convert to fraction form
    102,367/222,419 = 222,419/x
  3. Step 3: Cross multiply
    102,367x = 222,419 × 222,419
  4. Step 4: Simplify right side
    102,367x = 49,470,211,561
  5. Step 5: Solve for x
    x = 49,470,211,561/102,367
  6. Step 6: Final answer
    x = 483,263.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.