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Finding the Third Proportional to 6,819.19 and 9,331.03

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Solution

The third proportional to 6,819.19 and 9,331.03 is: 12,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.19 : 9,331.03 = 9,331.03 : x
  2. Step 2: Convert to fraction form
    6,819.19/9,331.03 = 9,331.03/x
  3. Step 3: Cross multiply
    6,819.19x = 9,331.03 × 9,331.03
  4. Step 4: Simplify right side
    6,819.19x = 87,068,144.19
  5. Step 5: Solve for x
    x = 87,068,144.19/6,819.19
  6. Step 6: Final answer
    x = 12,768.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.