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Finding the Third Proportional to 200,579 and 413,868

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Solution

The third proportional to 200,579 and 413,868 is: 853,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,579 : 413,868 = 413,868 : x
  2. Step 2: Convert to fraction form
    200,579/413,868 = 413,868/x
  3. Step 3: Cross multiply
    200,579x = 413,868 × 413,868
  4. Step 4: Simplify right side
    200,579x = 171,286,721,424
  5. Step 5: Solve for x
    x = 171,286,721,424/200,579
  6. Step 6: Final answer
    x = 853,961.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.