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Finding the Third Proportional to 7,680.75 and 11,744.25

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Solution

The third proportional to 7,680.75 and 11,744.25 is: 17,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.75 : 11,744.25 = 11,744.25 : x
  2. Step 2: Convert to fraction form
    7,680.75/11,744.25 = 11,744.25/x
  3. Step 3: Cross multiply
    7,680.75x = 11,744.25 × 11,744.25
  4. Step 4: Simplify right side
    7,680.75x = 137,927,408.06
  5. Step 5: Solve for x
    x = 137,927,408.06/7,680.75
  6. Step 6: Final answer
    x = 17,957.54

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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.