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Finding the Third Proportional to 82,846 and 126,679

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Solution

The third proportional to 82,846 and 126,679 is: 193,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,846 : 126,679 = 126,679 : x
  2. Step 2: Convert to fraction form
    82,846/126,679 = 126,679/x
  3. Step 3: Cross multiply
    82,846x = 126,679 × 126,679
  4. Step 4: Simplify right side
    82,846x = 16,047,569,041
  5. Step 5: Solve for x
    x = 16,047,569,041/82,846
  6. Step 6: Final answer
    x = 193,703.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.