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Finding the Third Proportional to 339,371 and 670,174

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Solution

The third proportional to 339,371 and 670,174 is: 1,323,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,371 : 670,174 = 670,174 : x
  2. Step 2: Convert to fraction form
    339,371/670,174 = 670,174/x
  3. Step 3: Cross multiply
    339,371x = 670,174 × 670,174
  4. Step 4: Simplify right side
    339,371x = 449,133,190,276
  5. Step 5: Solve for x
    x = 449,133,190,276/339,371
  6. Step 6: Final answer
    x = 1,323,428.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.