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Finding the Third Proportional to 157,809 and 339,678

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Solution

The third proportional to 157,809 and 339,678 is: 731,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809 : 339,678 = 339,678 : x
  2. Step 2: Convert to fraction form
    157,809/339,678 = 339,678/x
  3. Step 3: Cross multiply
    157,809x = 339,678 × 339,678
  4. Step 4: Simplify right side
    157,809x = 115,381,143,684
  5. Step 5: Solve for x
    x = 115,381,143,684/157,809
  6. Step 6: Final answer
    x = 731,144.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.