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Finding the Third Proportional to 8,210 and 21,234

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Solution

The third proportional to 8,210 and 21,234 is: 54,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210 : 21,234 = 21,234 : x
  2. Step 2: Convert to fraction form
    8,210/21,234 = 21,234/x
  3. Step 3: Cross multiply
    8,210x = 21,234 × 21,234
  4. Step 4: Simplify right side
    8,210x = 450,882,756
  5. Step 5: Solve for x
    x = 450,882,756/8,210
  6. Step 6: Final answer
    x = 54,918.73

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.