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Finding the Third Proportional to 82,811 and 129,137

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Solution

The third proportional to 82,811 and 129,137 is: 201,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811 : 129,137 = 129,137 : x
  2. Step 2: Convert to fraction form
    82,811/129,137 = 129,137/x
  3. Step 3: Cross multiply
    82,811x = 129,137 × 129,137
  4. Step 4: Simplify right side
    82,811x = 16,676,364,769
  5. Step 5: Solve for x
    x = 16,676,364,769/82,811
  6. Step 6: Final answer
    x = 201,378.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.