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Finding the Third Proportional to 69,223 and 108,447

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Solution

The third proportional to 69,223 and 108,447 is: 169,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,223 : 108,447 = 108,447 : x
  2. Step 2: Convert to fraction form
    69,223/108,447 = 108,447/x
  3. Step 3: Cross multiply
    69,223x = 108,447 × 108,447
  4. Step 4: Simplify right side
    69,223x = 11,760,751,809
  5. Step 5: Solve for x
    x = 11,760,751,809/69,223
  6. Step 6: Final answer
    x = 169,896.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.