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Finding the Third Proportional to 6,811.31 and 15,917.91

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Solution

The third proportional to 6,811.31 and 15,917.91 is: 37,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.31 : 15,917.91 = 15,917.91 : x
  2. Step 2: Convert to fraction form
    6,811.31/15,917.91 = 15,917.91/x
  3. Step 3: Cross multiply
    6,811.31x = 15,917.91 × 15,917.91
  4. Step 4: Simplify right side
    6,811.31x = 253,379,739.38
  5. Step 5: Solve for x
    x = 253,379,739.38/6,811.31
  6. Step 6: Final answer
    x = 37,199.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.