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Finding the Third Proportional to 9,625 and 20,682.50

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Solution

The third proportional to 9,625 and 20,682.50 is: 44,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625 : 20,682.50 = 20,682.50 : x
  2. Step 2: Convert to fraction form
    9,625/20,682.50 = 20,682.50/x
  3. Step 3: Cross multiply
    9,625x = 20,682.50 × 20,682.50
  4. Step 4: Simplify right side
    9,625x = 427,765,806.25
  5. Step 5: Solve for x
    x = 427,765,806.25/9,625
  6. Step 6: Final answer
    x = 44,443.20

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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.