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Finding the Third Proportional to 80,802 and 165,645

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Solution

The third proportional to 80,802 and 165,645 is: 339,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,802 : 165,645 = 165,645 : x
  2. Step 2: Convert to fraction form
    80,802/165,645 = 165,645/x
  3. Step 3: Cross multiply
    80,802x = 165,645 × 165,645
  4. Step 4: Simplify right side
    80,802x = 27,438,266,025
  5. Step 5: Solve for x
    x = 27,438,266,025/80,802
  6. Step 6: Final answer
    x = 339,574.10

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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.