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Finding the Third Proportional to 6,780 and 16,329

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Solution

The third proportional to 6,780 and 16,329 is: 39,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 16,329 = 16,329 : x
  2. Step 2: Convert to fraction form
    6,780/16,329 = 16,329/x
  3. Step 3: Cross multiply
    6,780x = 16,329 × 16,329
  4. Step 4: Simplify right side
    6,780x = 266,636,241
  5. Step 5: Solve for x
    x = 266,636,241/6,780
  6. Step 6: Final answer
    x = 39,326.88

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.