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Finding the Third Proportional to 157,109 and 339,121

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Solution

The third proportional to 157,109 and 339,121 is: 731,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109 : 339,121 = 339,121 : x
  2. Step 2: Convert to fraction form
    157,109/339,121 = 339,121/x
  3. Step 3: Cross multiply
    157,109x = 339,121 × 339,121
  4. Step 4: Simplify right side
    157,109x = 115,003,052,641
  5. Step 5: Solve for x
    x = 115,003,052,641/157,109
  6. Step 6: Final answer
    x = 731,995.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.