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Finding the Third Proportional to 12,561 and 18,463

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Solution

The third proportional to 12,561 and 18,463 is: 27,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561 : 18,463 = 18,463 : x
  2. Step 2: Convert to fraction form
    12,561/18,463 = 18,463/x
  3. Step 3: Cross multiply
    12,561x = 18,463 × 18,463
  4. Step 4: Simplify right side
    12,561x = 340,882,369
  5. Step 5: Solve for x
    x = 340,882,369/12,561
  6. Step 6: Final answer
    x = 27,138.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.