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Finding the Third Proportional to 3,546.75 and 7,707.56

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Solution

The third proportional to 3,546.75 and 7,707.56 is: 16,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.75 : 7,707.56 = 7,707.56 : x
  2. Step 2: Convert to fraction form
    3,546.75/7,707.56 = 7,707.56/x
  3. Step 3: Cross multiply
    3,546.75x = 7,707.56 × 7,707.56
  4. Step 4: Simplify right side
    3,546.75x = 59,406,519.69
  5. Step 5: Solve for x
    x = 59,406,519.69/3,546.75
  6. Step 6: Final answer
    x = 16,749.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.