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Finding the Third Proportional to 51,751 and 105,679

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Solution

The third proportional to 51,751 and 105,679 is: 215,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,751 : 105,679 = 105,679 : x
  2. Step 2: Convert to fraction form
    51,751/105,679 = 105,679/x
  3. Step 3: Cross multiply
    51,751x = 105,679 × 105,679
  4. Step 4: Simplify right side
    51,751x = 11,168,051,041
  5. Step 5: Solve for x
    x = 11,168,051,041/51,751
  6. Step 6: Final answer
    x = 215,803.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.