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Finding the Third Proportional to 17,791 and 27,907

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Solution

The third proportional to 17,791 and 27,907 is: 43,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791 : 27,907 = 27,907 : x
  2. Step 2: Convert to fraction form
    17,791/27,907 = 27,907/x
  3. Step 3: Cross multiply
    17,791x = 27,907 × 27,907
  4. Step 4: Simplify right side
    17,791x = 778,800,649
  5. Step 5: Solve for x
    x = 778,800,649/17,791
  6. Step 6: Final answer
    x = 43,774.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.