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Finding the Third Proportional to 197,405 and 281,344

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Solution

The third proportional to 197,405 and 281,344 is: 400,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,405 : 281,344 = 281,344 : x
  2. Step 2: Convert to fraction form
    197,405/281,344 = 281,344/x
  3. Step 3: Cross multiply
    197,405x = 281,344 × 281,344
  4. Step 4: Simplify right side
    197,405x = 79,154,446,336
  5. Step 5: Solve for x
    x = 79,154,446,336/197,405
  6. Step 6: Final answer
    x = 400,974.88

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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.