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Finding the Third Proportional to 128,664 and 263,568

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Solution

The third proportional to 128,664 and 263,568 is: 539,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,664 : 263,568 = 263,568 : x
  2. Step 2: Convert to fraction form
    128,664/263,568 = 263,568/x
  3. Step 3: Cross multiply
    128,664x = 263,568 × 263,568
  4. Step 4: Simplify right side
    128,664x = 69,468,090,624
  5. Step 5: Solve for x
    x = 69,468,090,624/128,664
  6. Step 6: Final answer
    x = 539,918.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.