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Finding the Third Proportional to 200,553 and 300,873

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Solution

The third proportional to 200,553 and 300,873 is: 451,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,553 : 300,873 = 300,873 : x
  2. Step 2: Convert to fraction form
    200,553/300,873 = 300,873/x
  3. Step 3: Cross multiply
    200,553x = 300,873 × 300,873
  4. Step 4: Simplify right side
    200,553x = 90,524,562,129
  5. Step 5: Solve for x
    x = 90,524,562,129/200,553
  6. Step 6: Final answer
    x = 451,374.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.