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Finding the Third Proportional to 197,764.88 and 280,020.38

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Solution

The third proportional to 197,764.88 and 280,020.38 is: 396,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,764.88 : 280,020.38 = 280,020.38 : x
  2. Step 2: Convert to fraction form
    197,764.88/280,020.38 = 280,020.38/x
  3. Step 3: Cross multiply
    197,764.88x = 280,020.38 × 280,020.38
  4. Step 4: Simplify right side
    197,764.88x = 78,411,410,415.14
  5. Step 5: Solve for x
    x = 78,411,410,415.14/197,764.88
  6. Step 6: Final answer
    x = 396,488.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.