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Finding the Third Proportional to 72,923 and 171,698

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Solution

The third proportional to 72,923 and 171,698 is: 404,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,923 : 171,698 = 171,698 : x
  2. Step 2: Convert to fraction form
    72,923/171,698 = 171,698/x
  3. Step 3: Cross multiply
    72,923x = 171,698 × 171,698
  4. Step 4: Simplify right side
    72,923x = 29,480,203,204
  5. Step 5: Solve for x
    x = 29,480,203,204/72,923
  6. Step 6: Final answer
    x = 404,264.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.