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Finding the Third Proportional to 15,689 and 33,653

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Solution

The third proportional to 15,689 and 33,653 is: 72,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689 : 33,653 = 33,653 : x
  2. Step 2: Convert to fraction form
    15,689/33,653 = 33,653/x
  3. Step 3: Cross multiply
    15,689x = 33,653 × 33,653
  4. Step 4: Simplify right side
    15,689x = 1,132,524,409
  5. Step 5: Solve for x
    x = 1,132,524,409/15,689
  6. Step 6: Final answer
    x = 72,185.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.