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Finding the Third Proportional to 3,096.38 and 6,805.13

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Solution

The third proportional to 3,096.38 and 6,805.13 is: 14,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.38 : 6,805.13 = 6,805.13 : x
  2. Step 2: Convert to fraction form
    3,096.38/6,805.13 = 6,805.13/x
  3. Step 3: Cross multiply
    3,096.38x = 6,805.13 × 6,805.13
  4. Step 4: Simplify right side
    3,096.38x = 46,309,726.27
  5. Step 5: Solve for x
    x = 46,309,726.27/3,096.38
  6. Step 6: Final answer
    x = 14,956.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.