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Finding the Third Proportional to 17,619 and 27,507

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Solution

The third proportional to 17,619 and 27,507 is: 42,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619 : 27,507 = 27,507 : x
  2. Step 2: Convert to fraction form
    17,619/27,507 = 27,507/x
  3. Step 3: Cross multiply
    17,619x = 27,507 × 27,507
  4. Step 4: Simplify right side
    17,619x = 756,635,049
  5. Step 5: Solve for x
    x = 756,635,049/17,619
  6. Step 6: Final answer
    x = 42,944.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.