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Finding the Third Proportional to 80,779 and 165,477

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Solution

The third proportional to 80,779 and 165,477 is: 338,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,779 : 165,477 = 165,477 : x
  2. Step 2: Convert to fraction form
    80,779/165,477 = 165,477/x
  3. Step 3: Cross multiply
    80,779x = 165,477 × 165,477
  4. Step 4: Simplify right side
    80,779x = 27,382,637,529
  5. Step 5: Solve for x
    x = 27,382,637,529/80,779
  6. Step 6: Final answer
    x = 338,982.13

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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.