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Finding the Third Proportional to 9,678 and 20,760

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Solution

The third proportional to 9,678 and 20,760 is: 44,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 20,760 = 20,760 : x
  2. Step 2: Convert to fraction form
    9,678/20,760 = 20,760/x
  3. Step 3: Cross multiply
    9,678x = 20,760 × 20,760
  4. Step 4: Simplify right side
    9,678x = 430,977,600
  5. Step 5: Solve for x
    x = 430,977,600/9,678
  6. Step 6: Final answer
    x = 44,531.68

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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.