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Finding the Third Proportional to 19,478 and 27,757

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Solution

The third proportional to 19,478 and 27,757 is: 39,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478 : 27,757 = 27,757 : x
  2. Step 2: Convert to fraction form
    19,478/27,757 = 27,757/x
  3. Step 3: Cross multiply
    19,478x = 27,757 × 27,757
  4. Step 4: Simplify right side
    19,478x = 770,451,049
  5. Step 5: Solve for x
    x = 770,451,049/19,478
  6. Step 6: Final answer
    x = 39,554.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.