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Finding the Third Proportional to 324,040.50 and 668,766.38

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Solution

The third proportional to 324,040.50 and 668,766.38 is: 1,380,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,040.50 : 668,766.38 = 668,766.38 : x
  2. Step 2: Convert to fraction form
    324,040.50/668,766.38 = 668,766.38/x
  3. Step 3: Cross multiply
    324,040.50x = 668,766.38 × 668,766.38
  4. Step 4: Simplify right side
    324,040.50x = 447,248,464,330.64
  5. Step 5: Solve for x
    x = 447,248,464,330.64/324,040.50
  6. Step 6: Final answer
    x = 1,380,223.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.