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Finding the Third Proportional to 64,647 and 135,150

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Solution

The third proportional to 64,647 and 135,150 is: 282,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,647 : 135,150 = 135,150 : x
  2. Step 2: Convert to fraction form
    64,647/135,150 = 135,150/x
  3. Step 3: Cross multiply
    64,647x = 135,150 × 135,150
  4. Step 4: Simplify right side
    64,647x = 18,265,522,500
  5. Step 5: Solve for x
    x = 18,265,522,500/64,647
  6. Step 6: Final answer
    x = 282,542.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.