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Finding the Third Proportional to 155,568 and 339,293

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Solution

The third proportional to 155,568 and 339,293 is: 739,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,568 : 339,293 = 339,293 : x
  2. Step 2: Convert to fraction form
    155,568/339,293 = 339,293/x
  3. Step 3: Cross multiply
    155,568x = 339,293 × 339,293
  4. Step 4: Simplify right side
    155,568x = 115,119,739,849
  5. Step 5: Solve for x
    x = 115,119,739,849/155,568
  6. Step 6: Final answer
    x = 739,996.27

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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.