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Finding the Third Proportional to 209,628 and 332,100

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Solution

The third proportional to 209,628 and 332,100 is: 526,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,628 : 332,100 = 332,100 : x
  2. Step 2: Convert to fraction form
    209,628/332,100 = 332,100/x
  3. Step 3: Cross multiply
    209,628x = 332,100 × 332,100
  4. Step 4: Simplify right side
    209,628x = 110,290,410,000
  5. Step 5: Solve for x
    x = 110,290,410,000/209,628
  6. Step 6: Final answer
    x = 526,124.42

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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.