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Finding the Third Proportional to 19,729 and 27,751

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Solution

The third proportional to 19,729 and 27,751 is: 39,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729 : 27,751 = 27,751 : x
  2. Step 2: Convert to fraction form
    19,729/27,751 = 27,751/x
  3. Step 3: Cross multiply
    19,729x = 27,751 × 27,751
  4. Step 4: Simplify right side
    19,729x = 770,118,001
  5. Step 5: Solve for x
    x = 770,118,001/19,729
  6. Step 6: Final answer
    x = 39,034.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.