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Finding the Third Proportional to 64,867 and 82,885

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Solution

The third proportional to 64,867 and 82,885 is: 105,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,867 : 82,885 = 82,885 : x
  2. Step 2: Convert to fraction form
    64,867/82,885 = 82,885/x
  3. Step 3: Cross multiply
    64,867x = 82,885 × 82,885
  4. Step 4: Simplify right side
    64,867x = 6,869,923,225
  5. Step 5: Solve for x
    x = 6,869,923,225/64,867
  6. Step 6: Final answer
    x = 105,907.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.