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Finding the Third Proportional to 172,615 and 369,218

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Solution

The third proportional to 172,615 and 369,218 is: 789,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,615 : 369,218 = 369,218 : x
  2. Step 2: Convert to fraction form
    172,615/369,218 = 369,218/x
  3. Step 3: Cross multiply
    172,615x = 369,218 × 369,218
  4. Step 4: Simplify right side
    172,615x = 136,321,931,524
  5. Step 5: Solve for x
    x = 136,321,931,524/172,615
  6. Step 6: Final answer
    x = 789,745.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.