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Finding the Third Proportional to 12,210 and 18,371

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Solution

The third proportional to 12,210 and 18,371 is: 27,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210 : 18,371 = 18,371 : x
  2. Step 2: Convert to fraction form
    12,210/18,371 = 18,371/x
  3. Step 3: Cross multiply
    12,210x = 18,371 × 18,371
  4. Step 4: Simplify right side
    12,210x = 337,493,641
  5. Step 5: Solve for x
    x = 337,493,641/12,210
  6. Step 6: Final answer
    x = 27,640.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.