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Finding the Third Proportional to 81,620 and 122,670

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Solution

The third proportional to 81,620 and 122,670 is: 184,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,620 : 122,670 = 122,670 : x
  2. Step 2: Convert to fraction form
    81,620/122,670 = 122,670/x
  3. Step 3: Cross multiply
    81,620x = 122,670 × 122,670
  4. Step 4: Simplify right side
    81,620x = 15,047,928,900
  5. Step 5: Solve for x
    x = 15,047,928,900/81,620
  6. Step 6: Final answer
    x = 184,365.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.