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Finding the Third Proportional to 197,265 and 279,126

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Solution

The third proportional to 197,265 and 279,126 is: 394,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,265 : 279,126 = 279,126 : x
  2. Step 2: Convert to fraction form
    197,265/279,126 = 279,126/x
  3. Step 3: Cross multiply
    197,265x = 279,126 × 279,126
  4. Step 4: Simplify right side
    197,265x = 77,911,323,876
  5. Step 5: Solve for x
    x = 77,911,323,876/197,265
  6. Step 6: Final answer
    x = 394,957.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.