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Finding the Third Proportional to 8,646 and 20,814

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Solution

The third proportional to 8,646 and 20,814 is: 50,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646 : 20,814 = 20,814 : x
  2. Step 2: Convert to fraction form
    8,646/20,814 = 20,814/x
  3. Step 3: Cross multiply
    8,646x = 20,814 × 20,814
  4. Step 4: Simplify right side
    8,646x = 433,222,596
  5. Step 5: Solve for x
    x = 433,222,596/8,646
  6. Step 6: Final answer
    x = 50,106.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.