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Finding the Third Proportional to 64,640 and 135,163

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Solution

The third proportional to 64,640 and 135,163 is: 282,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,640 : 135,163 = 135,163 : x
  2. Step 2: Convert to fraction form
    64,640/135,163 = 135,163/x
  3. Step 3: Cross multiply
    64,640x = 135,163 × 135,163
  4. Step 4: Simplify right side
    64,640x = 18,269,036,569
  5. Step 5: Solve for x
    x = 18,269,036,569/64,640
  6. Step 6: Final answer
    x = 282,627.42

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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.