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Finding the Third Proportional to 197,414 and 281,355

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Solution

The third proportional to 197,414 and 281,355 is: 400,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,414 : 281,355 = 281,355 : x
  2. Step 2: Convert to fraction form
    197,414/281,355 = 281,355/x
  3. Step 3: Cross multiply
    197,414x = 281,355 × 281,355
  4. Step 4: Simplify right side
    197,414x = 79,160,636,025
  5. Step 5: Solve for x
    x = 79,160,636,025/197,414
  6. Step 6: Final answer
    x = 400,987.95

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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.