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Finding the Third Proportional to 138,992 and 303,476

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Solution

The third proportional to 138,992 and 303,476 is: 662,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,992 : 303,476 = 303,476 : x
  2. Step 2: Convert to fraction form
    138,992/303,476 = 303,476/x
  3. Step 3: Cross multiply
    138,992x = 303,476 × 303,476
  4. Step 4: Simplify right side
    138,992x = 92,097,682,576
  5. Step 5: Solve for x
    x = 92,097,682,576/138,992
  6. Step 6: Final answer
    x = 662,611.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.