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Finding the Third Proportional to 158,780 and 339,394

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Solution

The third proportional to 158,780 and 339,394 is: 725,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,780 : 339,394 = 339,394 : x
  2. Step 2: Convert to fraction form
    158,780/339,394 = 339,394/x
  3. Step 3: Cross multiply
    158,780x = 339,394 × 339,394
  4. Step 4: Simplify right side
    158,780x = 115,188,287,236
  5. Step 5: Solve for x
    x = 115,188,287,236/158,780
  6. Step 6: Final answer
    x = 725,458.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.