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Finding the Third Proportional to 200,529 and 445,889

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Solution

The third proportional to 200,529 and 445,889 is: 991,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,529 : 445,889 = 445,889 : x
  2. Step 2: Convert to fraction form
    200,529/445,889 = 445,889/x
  3. Step 3: Cross multiply
    200,529x = 445,889 × 445,889
  4. Step 4: Simplify right side
    200,529x = 198,817,000,321
  5. Step 5: Solve for x
    x = 198,817,000,321/200,529
  6. Step 6: Final answer
    x = 991,462.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.