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Finding the Third Proportional to 11,830 and 18,393

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Solution

The third proportional to 11,830 and 18,393 is: 28,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830 : 18,393 = 18,393 : x
  2. Step 2: Convert to fraction form
    11,830/18,393 = 18,393/x
  3. Step 3: Cross multiply
    11,830x = 18,393 × 18,393
  4. Step 4: Simplify right side
    11,830x = 338,302,449
  5. Step 5: Solve for x
    x = 338,302,449/11,830
  6. Step 6: Final answer
    x = 28,596.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.