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Finding the Third Proportional to 82,812 and 128,467

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Solution

The third proportional to 82,812 and 128,467 is: 199,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812 : 128,467 = 128,467 : x
  2. Step 2: Convert to fraction form
    82,812/128,467 = 128,467/x
  3. Step 3: Cross multiply
    82,812x = 128,467 × 128,467
  4. Step 4: Simplify right side
    82,812x = 16,503,770,089
  5. Step 5: Solve for x
    x = 16,503,770,089/82,812
  6. Step 6: Final answer
    x = 199,292.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.