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Finding the Third Proportional to 139,832 and 197,673

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Solution

The third proportional to 139,832 and 197,673 is: 279,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,832 : 197,673 = 197,673 : x
  2. Step 2: Convert to fraction form
    139,832/197,673 = 197,673/x
  3. Step 3: Cross multiply
    139,832x = 197,673 × 197,673
  4. Step 4: Simplify right side
    139,832x = 39,074,614,929
  5. Step 5: Solve for x
    x = 39,074,614,929/139,832
  6. Step 6: Final answer
    x = 279,439.72

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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.