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Finding the Third Proportional to 10,194 and 21,876

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Solution

The third proportional to 10,194 and 21,876 is: 46,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194 : 21,876 = 21,876 : x
  2. Step 2: Convert to fraction form
    10,194/21,876 = 21,876/x
  3. Step 3: Cross multiply
    10,194x = 21,876 × 21,876
  4. Step 4: Simplify right side
    10,194x = 478,559,376
  5. Step 5: Solve for x
    x = 478,559,376/10,194
  6. Step 6: Final answer
    x = 46,945.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.