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Finding the Third Proportional to 78,922 and 117,183

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Solution

The third proportional to 78,922 and 117,183 is: 173,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,922 : 117,183 = 117,183 : x
  2. Step 2: Convert to fraction form
    78,922/117,183 = 117,183/x
  3. Step 3: Cross multiply
    78,922x = 117,183 × 117,183
  4. Step 4: Simplify right side
    78,922x = 13,731,855,489
  5. Step 5: Solve for x
    x = 13,731,855,489/78,922
  6. Step 6: Final answer
    x = 173,992.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.