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Finding the Third Proportional to 9,421.88 and 20,694.38

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Solution

The third proportional to 9,421.88 and 20,694.38 is: 45,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.88 : 20,694.38 = 20,694.38 : x
  2. Step 2: Convert to fraction form
    9,421.88/20,694.38 = 20,694.38/x
  3. Step 3: Cross multiply
    9,421.88x = 20,694.38 × 20,694.38
  4. Step 4: Simplify right side
    9,421.88x = 428,257,156.64
  5. Step 5: Solve for x
    x = 428,257,156.64/9,421.88
  6. Step 6: Final answer
    x = 45,453.50

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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.