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Finding the Third Proportional to 80,864 and 165,726

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Solution

The third proportional to 80,864 and 165,726 is: 339,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,864 : 165,726 = 165,726 : x
  2. Step 2: Convert to fraction form
    80,864/165,726 = 165,726/x
  3. Step 3: Cross multiply
    80,864x = 165,726 × 165,726
  4. Step 4: Simplify right side
    80,864x = 27,465,107,076
  5. Step 5: Solve for x
    x = 27,465,107,076/80,864
  6. Step 6: Final answer
    x = 339,645.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.