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Finding the Third Proportional to 198,789.19 and 414,345.38

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Solution

The third proportional to 198,789.19 and 414,345.38 is: 863,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,789.19 : 414,345.38 = 414,345.38 : x
  2. Step 2: Convert to fraction form
    198,789.19/414,345.38 = 414,345.38/x
  3. Step 3: Cross multiply
    198,789.19x = 414,345.38 × 414,345.38
  4. Step 4: Simplify right side
    198,789.19x = 171,682,089,783.89
  5. Step 5: Solve for x
    x = 171,682,089,783.89/198,789.19
  6. Step 6: Final answer
    x = 863,638.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.