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Finding the Third Proportional to 6,813.56 and 9,997.31

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Solution

The third proportional to 6,813.56 and 9,997.31 is: 14,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.56 : 9,997.31 = 9,997.31 : x
  2. Step 2: Convert to fraction form
    6,813.56/9,997.31 = 9,997.31/x
  3. Step 3: Cross multiply
    6,813.56x = 9,997.31 × 9,997.31
  4. Step 4: Simplify right side
    6,813.56x = 99,946,257.22
  5. Step 5: Solve for x
    x = 99,946,257.22/6,813.56
  6. Step 6: Final answer
    x = 14,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.