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Finding the Third Proportional to 4,185.42 and 9,217.55

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Solution

The third proportional to 4,185.42 and 9,217.55 is: 20,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.42 : 9,217.55 = 9,217.55 : x
  2. Step 2: Convert to fraction form
    4,185.42/9,217.55 = 9,217.55/x
  3. Step 3: Cross multiply
    4,185.42x = 9,217.55 × 9,217.55
  4. Step 4: Simplify right side
    4,185.42x = 84,963,170.39
  5. Step 5: Solve for x
    x = 84,963,170.39/4,185.42
  6. Step 6: Final answer
    x = 20,299.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.