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Finding the Third Proportional to 9,450.25 and 20,777.88

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Solution

The third proportional to 9,450.25 and 20,777.88 is: 45,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.25 : 20,777.88 = 20,777.88 : x
  2. Step 2: Convert to fraction form
    9,450.25/20,777.88 = 20,777.88/x
  3. Step 3: Cross multiply
    9,450.25x = 20,777.88 × 20,777.88
  4. Step 4: Simplify right side
    9,450.25x = 431,720,089.52
  5. Step 5: Solve for x
    x = 431,720,089.52/9,450.25
  6. Step 6: Final answer
    x = 45,683.46

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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.