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Finding the Third Proportional to 82,828 and 129,162

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Solution

The third proportional to 82,828 and 129,162 is: 201,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828 : 129,162 = 129,162 : x
  2. Step 2: Convert to fraction form
    82,828/129,162 = 129,162/x
  3. Step 3: Cross multiply
    82,828x = 129,162 × 129,162
  4. Step 4: Simplify right side
    82,828x = 16,682,822,244
  5. Step 5: Solve for x
    x = 16,682,822,244/82,828
  6. Step 6: Final answer
    x = 201,415.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.