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Finding the Third Proportional to 17,829 and 36,873

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Solution

The third proportional to 17,829 and 36,873 is: 76,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829 : 36,873 = 36,873 : x
  2. Step 2: Convert to fraction form
    17,829/36,873 = 36,873/x
  3. Step 3: Cross multiply
    17,829x = 36,873 × 36,873
  4. Step 4: Simplify right side
    17,829x = 1,359,618,129
  5. Step 5: Solve for x
    x = 1,359,618,129/17,829
  6. Step 6: Final answer
    x = 76,258.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.