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Finding the Third Proportional to 65,481.75 and 142,956.75

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Solution

The third proportional to 65,481.75 and 142,956.75 is: 312,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,481.75 : 142,956.75 = 142,956.75 : x
  2. Step 2: Convert to fraction form
    65,481.75/142,956.75 = 142,956.75/x
  3. Step 3: Cross multiply
    65,481.75x = 142,956.75 × 142,956.75
  4. Step 4: Simplify right side
    65,481.75x = 20,436,632,370.56
  5. Step 5: Solve for x
    x = 20,436,632,370.56/65,481.75
  6. Step 6: Final answer
    x = 312,096.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.