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Finding the Third Proportional to 209,668 and 279,340

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Solution

The third proportional to 209,668 and 279,340 is: 372,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,668 : 279,340 = 279,340 : x
  2. Step 2: Convert to fraction form
    209,668/279,340 = 279,340/x
  3. Step 3: Cross multiply
    209,668x = 279,340 × 279,340
  4. Step 4: Simplify right side
    209,668x = 78,030,835,600
  5. Step 5: Solve for x
    x = 78,030,835,600/209,668
  6. Step 6: Final answer
    x = 372,163.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.