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Finding the Third Proportional to 81,811 and 120,023

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Solution

The third proportional to 81,811 and 120,023 is: 176,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,811 : 120,023 = 120,023 : x
  2. Step 2: Convert to fraction form
    81,811/120,023 = 120,023/x
  3. Step 3: Cross multiply
    81,811x = 120,023 × 120,023
  4. Step 4: Simplify right side
    81,811x = 14,405,520,529
  5. Step 5: Solve for x
    x = 14,405,520,529/81,811
  6. Step 6: Final answer
    x = 176,082.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.