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Finding the Third Proportional to 9,336 and 20,757

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Solution

The third proportional to 9,336 and 20,757 is: 46,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336 : 20,757 = 20,757 : x
  2. Step 2: Convert to fraction form
    9,336/20,757 = 20,757/x
  3. Step 3: Cross multiply
    9,336x = 20,757 × 20,757
  4. Step 4: Simplify right side
    9,336x = 430,853,049
  5. Step 5: Solve for x
    x = 430,853,049/9,336
  6. Step 6: Final answer
    x = 46,149.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.