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Finding the Third Proportional to 35,811 and 78,183

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Solution

The third proportional to 35,811 and 78,183 is: 170,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811 : 78,183 = 78,183 : x
  2. Step 2: Convert to fraction form
    35,811/78,183 = 78,183/x
  3. Step 3: Cross multiply
    35,811x = 78,183 × 78,183
  4. Step 4: Simplify right side
    35,811x = 6,112,581,489
  5. Step 5: Solve for x
    x = 6,112,581,489/35,811
  6. Step 6: Final answer
    x = 170,690.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.