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Finding the Third Proportional to 43,763 and 93,751

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Solution

The third proportional to 43,763 and 93,751 is: 200,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,763 : 93,751 = 93,751 : x
  2. Step 2: Convert to fraction form
    43,763/93,751 = 93,751/x
  3. Step 3: Cross multiply
    43,763x = 93,751 × 93,751
  4. Step 4: Simplify right side
    43,763x = 8,789,250,001
  5. Step 5: Solve for x
    x = 8,789,250,001/43,763
  6. Step 6: Final answer
    x = 200,837.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.