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Finding the Third Proportional to 81,069 and 121,279

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Solution

The third proportional to 81,069 and 121,279 is: 181,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,069 : 121,279 = 121,279 : x
  2. Step 2: Convert to fraction form
    81,069/121,279 = 121,279/x
  3. Step 3: Cross multiply
    81,069x = 121,279 × 121,279
  4. Step 4: Simplify right side
    81,069x = 14,708,595,841
  5. Step 5: Solve for x
    x = 14,708,595,841/81,069
  6. Step 6: Final answer
    x = 181,433.05

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