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Finding the Third Proportional to 16,821 and 34,701.75

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Solution

The third proportional to 16,821 and 34,701.75 is: 71,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821 : 34,701.75 = 34,701.75 : x
  2. Step 2: Convert to fraction form
    16,821/34,701.75 = 34,701.75/x
  3. Step 3: Cross multiply
    16,821x = 34,701.75 × 34,701.75
  4. Step 4: Simplify right side
    16,821x = 1,204,211,453.06
  5. Step 5: Solve for x
    x = 1,204,211,453.06/16,821
  6. Step 6: Final answer
    x = 71,589.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.