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Finding the Third Proportional to 40,581 and 82,278

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Solution

The third proportional to 40,581 and 82,278 is: 166,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,581 : 82,278 = 82,278 : x
  2. Step 2: Convert to fraction form
    40,581/82,278 = 82,278/x
  3. Step 3: Cross multiply
    40,581x = 82,278 × 82,278
  4. Step 4: Simplify right side
    40,581x = 6,769,669,284
  5. Step 5: Solve for x
    x = 6,769,669,284/40,581
  6. Step 6: Final answer
    x = 166,818.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.