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Finding the Third Proportional to 81,400 and 122,014

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Solution

The third proportional to 81,400 and 122,014 is: 182,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,400 : 122,014 = 122,014 : x
  2. Step 2: Convert to fraction form
    81,400/122,014 = 122,014/x
  3. Step 3: Cross multiply
    81,400x = 122,014 × 122,014
  4. Step 4: Simplify right side
    81,400x = 14,887,416,196
  5. Step 5: Solve for x
    x = 14,887,416,196/81,400
  6. Step 6: Final answer
    x = 182,892.09

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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.