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Finding the Third Proportional to 202,021.56 and 301,280.69

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Solution

The third proportional to 202,021.56 and 301,280.69 is: 449,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,021.56 : 301,280.69 = 301,280.69 : x
  2. Step 2: Convert to fraction form
    202,021.56/301,280.69 = 301,280.69/x
  3. Step 3: Cross multiply
    202,021.56x = 301,280.69 × 301,280.69
  4. Step 4: Simplify right side
    202,021.56x = 90,770,052,660.47
  5. Step 5: Solve for x
    x = 90,770,052,660.47/202,021.56
  6. Step 6: Final answer
    x = 449,308.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.