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Finding the Third Proportional to 200,325 and 408,069

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Solution

The third proportional to 200,325 and 408,069 is: 831,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,325 : 408,069 = 408,069 : x
  2. Step 2: Convert to fraction form
    200,325/408,069 = 408,069/x
  3. Step 3: Cross multiply
    200,325x = 408,069 × 408,069
  4. Step 4: Simplify right side
    200,325x = 166,520,308,761
  5. Step 5: Solve for x
    x = 166,520,308,761/200,325
  6. Step 6: Final answer
    x = 831,250.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.