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Finding the Third Proportional to 4,964.50 and 7,679.75

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Solution

The third proportional to 4,964.50 and 7,679.75 is: 11,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.50 : 7,679.75 = 7,679.75 : x
  2. Step 2: Convert to fraction form
    4,964.50/7,679.75 = 7,679.75/x
  3. Step 3: Cross multiply
    4,964.50x = 7,679.75 × 7,679.75
  4. Step 4: Simplify right side
    4,964.50x = 58,978,560.06
  5. Step 5: Solve for x
    x = 58,978,560.06/4,964.50
  6. Step 6: Final answer
    x = 11,880.06

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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.