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Finding the Third Proportional to 6,768.50 and 10,620.19

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Solution

The third proportional to 6,768.50 and 10,620.19 is: 16,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.50 : 10,620.19 = 10,620.19 : x
  2. Step 2: Convert to fraction form
    6,768.50/10,620.19 = 10,620.19/x
  3. Step 3: Cross multiply
    6,768.50x = 10,620.19 × 10,620.19
  4. Step 4: Simplify right side
    6,768.50x = 112,788,382.54
  5. Step 5: Solve for x
    x = 112,788,382.54/6,768.50
  6. Step 6: Final answer
    x = 16,663.72

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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.