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Finding the Third Proportional to 19,586 and 27,057

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Solution

The third proportional to 19,586 and 27,057 is: 37,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586 : 27,057 = 27,057 : x
  2. Step 2: Convert to fraction form
    19,586/27,057 = 27,057/x
  3. Step 3: Cross multiply
    19,586x = 27,057 × 27,057
  4. Step 4: Simplify right side
    19,586x = 732,081,249
  5. Step 5: Solve for x
    x = 732,081,249/19,586
  6. Step 6: Final answer
    x = 37,377.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.