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Finding the Third Proportional to 51,640 and 113,107

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Solution

The third proportional to 51,640 and 113,107 is: 247,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,640 : 113,107 = 113,107 : x
  2. Step 2: Convert to fraction form
    51,640/113,107 = 113,107/x
  3. Step 3: Cross multiply
    51,640x = 113,107 × 113,107
  4. Step 4: Simplify right side
    51,640x = 12,793,193,449
  5. Step 5: Solve for x
    x = 12,793,193,449/51,640
  6. Step 6: Final answer
    x = 247,738.06

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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.