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Finding the Third Proportional to 90,923 and 122,305

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Solution

The third proportional to 90,923 and 122,305 is: 164,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,923 : 122,305 = 122,305 : x
  2. Step 2: Convert to fraction form
    90,923/122,305 = 122,305/x
  3. Step 3: Cross multiply
    90,923x = 122,305 × 122,305
  4. Step 4: Simplify right side
    90,923x = 14,958,513,025
  5. Step 5: Solve for x
    x = 14,958,513,025/90,923
  6. Step 6: Final answer
    x = 164,518.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.