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Finding the Third Proportional to 215,828 and 338,569

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Solution

The third proportional to 215,828 and 338,569 is: 531,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,828 : 338,569 = 338,569 : x
  2. Step 2: Convert to fraction form
    215,828/338,569 = 338,569/x
  3. Step 3: Cross multiply
    215,828x = 338,569 × 338,569
  4. Step 4: Simplify right side
    215,828x = 114,628,967,761
  5. Step 5: Solve for x
    x = 114,628,967,761/215,828
  6. Step 6: Final answer
    x = 531,112.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.