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Finding the Third Proportional to 12,666 and 16,891

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Solution

The third proportional to 12,666 and 16,891 is: 22,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666 : 16,891 = 16,891 : x
  2. Step 2: Convert to fraction form
    12,666/16,891 = 16,891/x
  3. Step 3: Cross multiply
    12,666x = 16,891 × 16,891
  4. Step 4: Simplify right side
    12,666x = 285,305,881
  5. Step 5: Solve for x
    x = 285,305,881/12,666
  6. Step 6: Final answer
    x = 22,525.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.