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Finding the Third Proportional to 197,428 and 281,374

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Solution

The third proportional to 197,428 and 281,374 is: 401,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,428 : 281,374 = 281,374 : x
  2. Step 2: Convert to fraction form
    197,428/281,374 = 281,374/x
  3. Step 3: Cross multiply
    197,428x = 281,374 × 281,374
  4. Step 4: Simplify right side
    197,428x = 79,171,327,876
  5. Step 5: Solve for x
    x = 79,171,327,876/197,428
  6. Step 6: Final answer
    x = 401,013.68

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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.