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Finding the Third Proportional to 80,862 and 165,756

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Solution

The third proportional to 80,862 and 165,756 is: 339,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,862 : 165,756 = 165,756 : x
  2. Step 2: Convert to fraction form
    80,862/165,756 = 165,756/x
  3. Step 3: Cross multiply
    80,862x = 165,756 × 165,756
  4. Step 4: Simplify right side
    80,862x = 27,475,051,536
  5. Step 5: Solve for x
    x = 27,475,051,536/80,862
  6. Step 6: Final answer
    x = 339,777.05

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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.