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Finding the Third Proportional to 104,002 and 222,788

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Solution

The third proportional to 104,002 and 222,788 is: 477,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,002 : 222,788 = 222,788 : x
  2. Step 2: Convert to fraction form
    104,002/222,788 = 222,788/x
  3. Step 3: Cross multiply
    104,002x = 222,788 × 222,788
  4. Step 4: Simplify right side
    104,002x = 49,634,492,944
  5. Step 5: Solve for x
    x = 49,634,492,944/104,002
  6. Step 6: Final answer
    x = 477,245.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.