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Finding the Third Proportional to 209,651.63 and 279,323.44

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Solution

The third proportional to 209,651.63 and 279,323.44 is: 372,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,651.63 : 279,323.44 = 279,323.44 : x
  2. Step 2: Convert to fraction form
    209,651.63/279,323.44 = 279,323.44/x
  3. Step 3: Cross multiply
    209,651.63x = 279,323.44 × 279,323.44
  4. Step 4: Simplify right side
    209,651.63x = 78,021,582,736.82
  5. Step 5: Solve for x
    x = 78,021,582,736.82/209,651.63
  6. Step 6: Final answer
    x = 372,148.71

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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.