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Finding the Third Proportional to 7,749 and 11,886.75

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Solution

The third proportional to 7,749 and 11,886.75 is: 18,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 11,886.75 = 11,886.75 : x
  2. Step 2: Convert to fraction form
    7,749/11,886.75 = 11,886.75/x
  3. Step 3: Cross multiply
    7,749x = 11,886.75 × 11,886.75
  4. Step 4: Simplify right side
    7,749x = 141,294,825.56
  5. Step 5: Solve for x
    x = 141,294,825.56/7,749
  6. Step 6: Final answer
    x = 18,233.94

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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.