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Finding the Third Proportional to 165,828 and 355,311

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Solution

The third proportional to 165,828 and 355,311 is: 761,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,828 : 355,311 = 355,311 : x
  2. Step 2: Convert to fraction form
    165,828/355,311 = 355,311/x
  3. Step 3: Cross multiply
    165,828x = 355,311 × 355,311
  4. Step 4: Simplify right side
    165,828x = 126,245,906,721
  5. Step 5: Solve for x
    x = 126,245,906,721/165,828
  6. Step 6: Final answer
    x = 761,306.33

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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.