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Finding the Third Proportional to 12,218 and 19,451

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Solution

The third proportional to 12,218 and 19,451 is: 30,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 19,451 = 19,451 : x
  2. Step 2: Convert to fraction form
    12,218/19,451 = 19,451/x
  3. Step 3: Cross multiply
    12,218x = 19,451 × 19,451
  4. Step 4: Simplify right side
    12,218x = 378,341,401
  5. Step 5: Solve for x
    x = 378,341,401/12,218
  6. Step 6: Final answer
    x = 30,965.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.