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Finding the Third Proportional to 7,791 and 16,689

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Solution

The third proportional to 7,791 and 16,689 is: 35,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791 : 16,689 = 16,689 : x
  2. Step 2: Convert to fraction form
    7,791/16,689 = 16,689/x
  3. Step 3: Cross multiply
    7,791x = 16,689 × 16,689
  4. Step 4: Simplify right side
    7,791x = 278,522,721
  5. Step 5: Solve for x
    x = 278,522,721/7,791
  6. Step 6: Final answer
    x = 35,749.29

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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.