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Finding the Third Proportional to 157,137 and 339,174

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Solution

The third proportional to 157,137 and 339,174 is: 732,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,137 : 339,174 = 339,174 : x
  2. Step 2: Convert to fraction form
    157,137/339,174 = 339,174/x
  3. Step 3: Cross multiply
    157,137x = 339,174 × 339,174
  4. Step 4: Simplify right side
    157,137x = 115,039,002,276
  5. Step 5: Solve for x
    x = 115,039,002,276/157,137
  6. Step 6: Final answer
    x = 732,093.67

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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.