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Finding the Third Proportional to 51,221 and 104,971

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Solution

The third proportional to 51,221 and 104,971 is: 215,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,221 : 104,971 = 104,971 : x
  2. Step 2: Convert to fraction form
    51,221/104,971 = 104,971/x
  3. Step 3: Cross multiply
    51,221x = 104,971 × 104,971
  4. Step 4: Simplify right side
    51,221x = 11,018,910,841
  5. Step 5: Solve for x
    x = 11,018,910,841/51,221
  6. Step 6: Final answer
    x = 215,124.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.