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Finding the Third Proportional to 204,143 and 300,381

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Solution

The third proportional to 204,143 and 300,381 is: 441,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,143 : 300,381 = 300,381 : x
  2. Step 2: Convert to fraction form
    204,143/300,381 = 300,381/x
  3. Step 3: Cross multiply
    204,143x = 300,381 × 300,381
  4. Step 4: Simplify right side
    204,143x = 90,228,745,161
  5. Step 5: Solve for x
    x = 90,228,745,161/204,143
  6. Step 6: Final answer
    x = 441,987.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.