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Finding the Third Proportional to 199,708.03 and 280,904.20

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Solution

The third proportional to 199,708.03 and 280,904.20 is: 395,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,708.03 : 280,904.20 = 280,904.20 : x
  2. Step 2: Convert to fraction form
    199,708.03/280,904.20 = 280,904.20/x
  3. Step 3: Cross multiply
    199,708.03x = 280,904.20 × 280,904.20
  4. Step 4: Simplify right side
    199,708.03x = 78,907,171,333.29
  5. Step 5: Solve for x
    x = 78,907,171,333.29/199,708.03
  6. Step 6: Final answer
    x = 395,112.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.