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Finding the Third Proportional to 6,206.50 and 13,367

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Solution

The third proportional to 6,206.50 and 13,367 is: 28,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.50 : 13,367 = 13,367 : x
  2. Step 2: Convert to fraction form
    6,206.50/13,367 = 13,367/x
  3. Step 3: Cross multiply
    6,206.50x = 13,367 × 13,367
  4. Step 4: Simplify right side
    6,206.50x = 178,676,689
  5. Step 5: Solve for x
    x = 178,676,689/6,206.50
  6. Step 6: Final answer
    x = 28,788.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.