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Finding the Third Proportional to 51,775 and 113,241

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Solution

The third proportional to 51,775 and 113,241 is: 247,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,775 : 113,241 = 113,241 : x
  2. Step 2: Convert to fraction form
    51,775/113,241 = 113,241/x
  3. Step 3: Cross multiply
    51,775x = 113,241 × 113,241
  4. Step 4: Simplify right side
    51,775x = 12,823,524,081
  5. Step 5: Solve for x
    x = 12,823,524,081/51,775
  6. Step 6: Final answer
    x = 247,677.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.