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Finding the Third Proportional to 7,662.75 and 11,716.88

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Solution

The third proportional to 7,662.75 and 11,716.88 is: 17,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.75 : 11,716.88 = 11,716.88 : x
  2. Step 2: Convert to fraction form
    7,662.75/11,716.88 = 11,716.88/x
  3. Step 3: Cross multiply
    7,662.75x = 11,716.88 × 11,716.88
  4. Step 4: Simplify right side
    7,662.75x = 137,285,159.77
  5. Step 5: Solve for x
    x = 137,285,159.77/7,662.75
  6. Step 6: Final answer
    x = 17,915.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.