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Finding the Third Proportional to 10,698 and 16,805

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Solution

The third proportional to 10,698 and 16,805 is: 26,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698 : 16,805 = 16,805 : x
  2. Step 2: Convert to fraction form
    10,698/16,805 = 16,805/x
  3. Step 3: Cross multiply
    10,698x = 16,805 × 16,805
  4. Step 4: Simplify right side
    10,698x = 282,408,025
  5. Step 5: Solve for x
    x = 282,408,025/10,698
  6. Step 6: Final answer
    x = 26,398.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.