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Finding the Third Proportional to 80,916 and 165,045

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Solution

The third proportional to 80,916 and 165,045 is: 336,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,916 : 165,045 = 165,045 : x
  2. Step 2: Convert to fraction form
    80,916/165,045 = 165,045/x
  3. Step 3: Cross multiply
    80,916x = 165,045 × 165,045
  4. Step 4: Simplify right side
    80,916x = 27,239,852,025
  5. Step 5: Solve for x
    x = 27,239,852,025/80,916
  6. Step 6: Final answer
    x = 336,643.58

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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.