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Finding the Third Proportional to 9,682.88 and 20,995.88

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Solution

The third proportional to 9,682.88 and 20,995.88 is: 45,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 20,995.88 = 20,995.88 : x
  2. Step 2: Convert to fraction form
    9,682.88/20,995.88 = 20,995.88/x
  3. Step 3: Cross multiply
    9,682.88x = 20,995.88 × 20,995.88
  4. Step 4: Simplify right side
    9,682.88x = 440,826,767.02
  5. Step 5: Solve for x
    x = 440,826,767.02/9,682.88
  6. Step 6: Final answer
    x = 45,526.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.