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Finding the Third Proportional to 200,824 and 418,296

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Solution

The third proportional to 200,824 and 418,296 is: 871,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,824 : 418,296 = 418,296 : x
  2. Step 2: Convert to fraction form
    200,824/418,296 = 418,296/x
  3. Step 3: Cross multiply
    200,824x = 418,296 × 418,296
  4. Step 4: Simplify right side
    200,824x = 174,971,543,616
  5. Step 5: Solve for x
    x = 174,971,543,616/200,824
  6. Step 6: Final answer
    x = 871,268.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.