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Finding the Third Proportional to 17,744 and 19,580

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Solution

The third proportional to 17,744 and 19,580 is: 21,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744 : 19,580 = 19,580 : x
  2. Step 2: Convert to fraction form
    17,744/19,580 = 19,580/x
  3. Step 3: Cross multiply
    17,744x = 19,580 × 19,580
  4. Step 4: Simplify right side
    17,744x = 383,376,400
  5. Step 5: Solve for x
    x = 383,376,400/17,744
  6. Step 6: Final answer
    x = 21,605.97

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.