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Finding the Third Proportional to 7,644.25 and 11,814.75

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Solution

The third proportional to 7,644.25 and 11,814.75 is: 18,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.25 : 11,814.75 = 11,814.75 : x
  2. Step 2: Convert to fraction form
    7,644.25/11,814.75 = 11,814.75/x
  3. Step 3: Cross multiply
    7,644.25x = 11,814.75 × 11,814.75
  4. Step 4: Simplify right side
    7,644.25x = 139,588,317.56
  5. Step 5: Solve for x
    x = 139,588,317.56/7,644.25
  6. Step 6: Final answer
    x = 18,260.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.