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Finding the Third Proportional to 82,054 and 122,941

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Solution

The third proportional to 82,054 and 122,941 is: 184,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,054 : 122,941 = 122,941 : x
  2. Step 2: Convert to fraction form
    82,054/122,941 = 122,941/x
  3. Step 3: Cross multiply
    82,054x = 122,941 × 122,941
  4. Step 4: Simplify right side
    82,054x = 15,114,489,481
  5. Step 5: Solve for x
    x = 15,114,489,481/82,054
  6. Step 6: Final answer
    x = 184,201.74

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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.