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Finding the Third Proportional to 11,689 and 25,519

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Solution

The third proportional to 11,689 and 25,519 is: 55,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689 : 25,519 = 25,519 : x
  2. Step 2: Convert to fraction form
    11,689/25,519 = 25,519/x
  3. Step 3: Cross multiply
    11,689x = 25,519 × 25,519
  4. Step 4: Simplify right side
    11,689x = 651,219,361
  5. Step 5: Solve for x
    x = 651,219,361/11,689
  6. Step 6: Final answer
    x = 55,712.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.