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Finding the Third Proportional to 217,920 and 338,824

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Solution

The third proportional to 217,920 and 338,824 is: 526,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,920 : 338,824 = 338,824 : x
  2. Step 2: Convert to fraction form
    217,920/338,824 = 338,824/x
  3. Step 3: Cross multiply
    217,920x = 338,824 × 338,824
  4. Step 4: Simplify right side
    217,920x = 114,801,702,976
  5. Step 5: Solve for x
    x = 114,801,702,976/217,920
  6. Step 6: Final answer
    x = 526,806.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.