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Finding the Third Proportional to 339,766.31 and 408,042.56

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Solution

The third proportional to 339,766.31 and 408,042.56 is: 490,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,766.31 : 408,042.56 = 408,042.56 : x
  2. Step 2: Convert to fraction form
    339,766.31/408,042.56 = 408,042.56/x
  3. Step 3: Cross multiply
    339,766.31x = 408,042.56 × 408,042.56
  4. Step 4: Simplify right side
    339,766.31x = 166,498,732,811.57
  5. Step 5: Solve for x
    x = 166,498,732,811.57/339,766.31
  6. Step 6: Final answer
    x = 490,038.97

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.