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Finding the Third Proportional to 197,432 and 281,380

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Solution

The third proportional to 197,432 and 281,380 is: 401,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,432 : 281,380 = 281,380 : x
  2. Step 2: Convert to fraction form
    197,432/281,380 = 281,380/x
  3. Step 3: Cross multiply
    197,432x = 281,380 × 281,380
  4. Step 4: Simplify right side
    197,432x = 79,174,704,400
  5. Step 5: Solve for x
    x = 79,174,704,400/197,432
  6. Step 6: Final answer
    x = 401,022.65

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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.