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Finding the Third Proportional to 76,885 and 168,916

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Solution

The third proportional to 76,885 and 168,916 is: 371,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,885 : 168,916 = 168,916 : x
  2. Step 2: Convert to fraction form
    76,885/168,916 = 168,916/x
  3. Step 3: Cross multiply
    76,885x = 168,916 × 168,916
  4. Step 4: Simplify right side
    76,885x = 28,532,615,056
  5. Step 5: Solve for x
    x = 28,532,615,056/76,885
  6. Step 6: Final answer
    x = 371,107.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.