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Finding the Third Proportional to 18,389 and 25,999

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Solution

The third proportional to 18,389 and 25,999 is: 36,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,389 : 25,999 = 25,999 : x
  2. Step 2: Convert to fraction form
    18,389/25,999 = 25,999/x
  3. Step 3: Cross multiply
    18,389x = 25,999 × 25,999
  4. Step 4: Simplify right side
    18,389x = 675,948,001
  5. Step 5: Solve for x
    x = 675,948,001/18,389
  6. Step 6: Final answer
    x = 36,758.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.