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Finding the Third Proportional to 69,115.50 and 145,194

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Solution

The third proportional to 69,115.50 and 145,194 is: 305,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115.50 : 145,194 = 145,194 : x
  2. Step 2: Convert to fraction form
    69,115.50/145,194 = 145,194/x
  3. Step 3: Cross multiply
    69,115.50x = 145,194 × 145,194
  4. Step 4: Simplify right side
    69,115.50x = 21,081,297,636
  5. Step 5: Solve for x
    x = 21,081,297,636/69,115.50
  6. Step 6: Final answer
    x = 305,015.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.