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Finding the Third Proportional to 82,703 and 100,847

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Solution

The third proportional to 82,703 and 100,847 is: 122,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,703 : 100,847 = 100,847 : x
  2. Step 2: Convert to fraction form
    82,703/100,847 = 100,847/x
  3. Step 3: Cross multiply
    82,703x = 100,847 × 100,847
  4. Step 4: Simplify right side
    82,703x = 10,170,117,409
  5. Step 5: Solve for x
    x = 10,170,117,409/82,703
  6. Step 6: Final answer
    x = 122,971.57

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.