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Finding the Third Proportional to 6,481.90 and 14,136.98

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Solution

The third proportional to 6,481.90 and 14,136.98 is: 30,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.90 : 14,136.98 = 14,136.98 : x
  2. Step 2: Convert to fraction form
    6,481.90/14,136.98 = 14,136.98/x
  3. Step 3: Cross multiply
    6,481.90x = 14,136.98 × 14,136.98
  4. Step 4: Simplify right side
    6,481.90x = 199,854,327.22
  5. Step 5: Solve for x
    x = 199,854,327.22/6,481.90
  6. Step 6: Final answer
    x = 30,832.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.