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Finding the Third Proportional to 16,730 and 20,474

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Solution

The third proportional to 16,730 and 20,474 is: 25,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730 : 20,474 = 20,474 : x
  2. Step 2: Convert to fraction form
    16,730/20,474 = 20,474/x
  3. Step 3: Cross multiply
    16,730x = 20,474 × 20,474
  4. Step 4: Simplify right side
    16,730x = 419,184,676
  5. Step 5: Solve for x
    x = 419,184,676/16,730
  6. Step 6: Final answer
    x = 25,055.87

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.