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Finding the Third Proportional to 12,286 and 18,895

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Solution

The third proportional to 12,286 and 18,895 is: 29,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 18,895 = 18,895 : x
  2. Step 2: Convert to fraction form
    12,286/18,895 = 18,895/x
  3. Step 3: Cross multiply
    12,286x = 18,895 × 18,895
  4. Step 4: Simplify right side
    12,286x = 357,021,025
  5. Step 5: Solve for x
    x = 357,021,025/12,286
  6. Step 6: Final answer
    x = 29,059.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.