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Finding the Third Proportional to 80,912 and 165,037

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Solution

The third proportional to 80,912 and 165,037 is: 336,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,912 : 165,037 = 165,037 : x
  2. Step 2: Convert to fraction form
    80,912/165,037 = 165,037/x
  3. Step 3: Cross multiply
    80,912x = 165,037 × 165,037
  4. Step 4: Simplify right side
    80,912x = 27,237,211,369
  5. Step 5: Solve for x
    x = 27,237,211,369/80,912
  6. Step 6: Final answer
    x = 336,627.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.