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Finding the Third Proportional to 204,131 and 409,083

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Solution

The third proportional to 204,131 and 409,083 is: 819,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,131 : 409,083 = 409,083 : x
  2. Step 2: Convert to fraction form
    204,131/409,083 = 409,083/x
  3. Step 3: Cross multiply
    204,131x = 409,083 × 409,083
  4. Step 4: Simplify right side
    204,131x = 167,348,900,889
  5. Step 5: Solve for x
    x = 167,348,900,889/204,131
  6. Step 6: Final answer
    x = 819,811.30

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.