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Finding the Third Proportional to 76,546 and 162,204

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Solution

The third proportional to 76,546 and 162,204 is: 343,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546 : 162,204 = 162,204 : x
  2. Step 2: Convert to fraction form
    76,546/162,204 = 162,204/x
  3. Step 3: Cross multiply
    76,546x = 162,204 × 162,204
  4. Step 4: Simplify right side
    76,546x = 26,310,137,616
  5. Step 5: Solve for x
    x = 26,310,137,616/76,546
  6. Step 6: Final answer
    x = 343,716.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.