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Finding the Third Proportional to 69,138.56 and 104,343.75

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Solution

The third proportional to 69,138.56 and 104,343.75 is: 157,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.56 : 104,343.75 = 104,343.75 : x
  2. Step 2: Convert to fraction form
    69,138.56/104,343.75 = 104,343.75/x
  3. Step 3: Cross multiply
    69,138.56x = 104,343.75 × 104,343.75
  4. Step 4: Simplify right side
    69,138.56x = 10,887,618,164.06
  5. Step 5: Solve for x
    x = 10,887,618,164.06/69,138.56
  6. Step 6: Final answer
    x = 157,475.33

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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.