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Finding the Third Proportional to 69,128 and 104,326

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Solution

The third proportional to 69,128 and 104,326 is: 157,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,128 : 104,326 = 104,326 : x
  2. Step 2: Convert to fraction form
    69,128/104,326 = 104,326/x
  3. Step 3: Cross multiply
    69,128x = 104,326 × 104,326
  4. Step 4: Simplify right side
    69,128x = 10,883,914,276
  5. Step 5: Solve for x
    x = 10,883,914,276/69,128
  6. Step 6: Final answer
    x = 157,445.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.