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Finding the Third Proportional to 203,053 and 446,606

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Solution

The third proportional to 203,053 and 446,606 is: 982,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,053 : 446,606 = 446,606 : x
  2. Step 2: Convert to fraction form
    203,053/446,606 = 446,606/x
  3. Step 3: Cross multiply
    203,053x = 446,606 × 446,606
  4. Step 4: Simplify right side
    203,053x = 199,456,919,236
  5. Step 5: Solve for x
    x = 199,456,919,236/203,053
  6. Step 6: Final answer
    x = 982,289.94

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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.