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Finding the Third Proportional to 342,867 and 738,218

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Solution

The third proportional to 342,867 and 738,218 is: 1,589,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,867 : 738,218 = 738,218 : x
  2. Step 2: Convert to fraction form
    342,867/738,218 = 738,218/x
  3. Step 3: Cross multiply
    342,867x = 738,218 × 738,218
  4. Step 4: Simplify right side
    342,867x = 544,965,815,524
  5. Step 5: Solve for x
    x = 544,965,815,524/342,867
  6. Step 6: Final answer
    x = 1,589,437.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.