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Finding the Third Proportional to 200,329 and 408,080

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Solution

The third proportional to 200,329 and 408,080 is: 831,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,329 : 408,080 = 408,080 : x
  2. Step 2: Convert to fraction form
    200,329/408,080 = 408,080/x
  3. Step 3: Cross multiply
    200,329x = 408,080 × 408,080
  4. Step 4: Simplify right side
    200,329x = 166,529,286,400
  5. Step 5: Solve for x
    x = 166,529,286,400/200,329
  6. Step 6: Final answer
    x = 831,278.98

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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.