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Finding the Third Proportional to 197,405 and 281,345

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Solution

The third proportional to 197,405 and 281,345 is: 400,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,405 : 281,345 = 281,345 : x
  2. Step 2: Convert to fraction form
    197,405/281,345 = 281,345/x
  3. Step 3: Cross multiply
    197,405x = 281,345 × 281,345
  4. Step 4: Simplify right side
    197,405x = 79,155,009,025
  5. Step 5: Solve for x
    x = 79,155,009,025/197,405
  6. Step 6: Final answer
    x = 400,977.73

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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.