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Finding the Third Proportional to 4,880.25 and 9,516.38

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Solution

The third proportional to 4,880.25 and 9,516.38 is: 18,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.25 : 9,516.38 = 9,516.38 : x
  2. Step 2: Convert to fraction form
    4,880.25/9,516.38 = 9,516.38/x
  3. Step 3: Cross multiply
    4,880.25x = 9,516.38 × 9,516.38
  4. Step 4: Simplify right side
    4,880.25x = 90,561,393.14
  5. Step 5: Solve for x
    x = 90,561,393.14/4,880.25
  6. Step 6: Final answer
    x = 18,556.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.