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Finding the Third Proportional to 9,486 and 20,425

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Solution

The third proportional to 9,486 and 20,425 is: 43,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 20,425 = 20,425 : x
  2. Step 2: Convert to fraction form
    9,486/20,425 = 20,425/x
  3. Step 3: Cross multiply
    9,486x = 20,425 × 20,425
  4. Step 4: Simplify right side
    9,486x = 417,180,625
  5. Step 5: Solve for x
    x = 417,180,625/9,486
  6. Step 6: Final answer
    x = 43,978.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.