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Finding the Third Proportional to 9,284.63 and 20,406.38

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Solution

The third proportional to 9,284.63 and 20,406.38 is: 44,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.63 : 20,406.38 = 20,406.38 : x
  2. Step 2: Convert to fraction form
    9,284.63/20,406.38 = 20,406.38/x
  3. Step 3: Cross multiply
    9,284.63x = 20,406.38 × 20,406.38
  4. Step 4: Simplify right side
    9,284.63x = 416,420,140.64
  5. Step 5: Solve for x
    x = 416,420,140.64/9,284.63
  6. Step 6: Final answer
    x = 44,850.51

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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.