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Finding the Third Proportional to 4,405.22 and 9,450.84

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Solution

The third proportional to 4,405.22 and 9,450.84 is: 20,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.22 : 9,450.84 = 9,450.84 : x
  2. Step 2: Convert to fraction form
    4,405.22/9,450.84 = 9,450.84/x
  3. Step 3: Cross multiply
    4,405.22x = 9,450.84 × 9,450.84
  4. Step 4: Simplify right side
    4,405.22x = 89,318,447.59
  5. Step 5: Solve for x
    x = 89,318,447.59/4,405.22
  6. Step 6: Final answer
    x = 20,275.60

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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.