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Finding the Third Proportional to 209,627 and 332,162

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Solution

The third proportional to 209,627 and 332,162 is: 526,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,627 : 332,162 = 332,162 : x
  2. Step 2: Convert to fraction form
    209,627/332,162 = 332,162/x
  3. Step 3: Cross multiply
    209,627x = 332,162 × 332,162
  4. Step 4: Simplify right side
    209,627x = 110,331,594,244
  5. Step 5: Solve for x
    x = 110,331,594,244/209,627
  6. Step 6: Final answer
    x = 526,323.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.