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Finding the Third Proportional to 197,401 and 281,339

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Solution

The third proportional to 197,401 and 281,339 is: 400,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,401 : 281,339 = 281,339 : x
  2. Step 2: Convert to fraction form
    197,401/281,339 = 281,339/x
  3. Step 3: Cross multiply
    197,401x = 281,339 × 281,339
  4. Step 4: Simplify right side
    197,401x = 79,151,632,921
  5. Step 5: Solve for x
    x = 79,151,632,921/197,401
  6. Step 6: Final answer
    x = 400,968.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.