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Finding the Third Proportional to 4,382.23 and 9,640.90

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Solution

The third proportional to 4,382.23 and 9,640.90 is: 21,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.23 : 9,640.90 = 9,640.90 : x
  2. Step 2: Convert to fraction form
    4,382.23/9,640.90 = 9,640.90/x
  3. Step 3: Cross multiply
    4,382.23x = 9,640.90 × 9,640.90
  4. Step 4: Simplify right side
    4,382.23x = 92,946,922.68
  5. Step 5: Solve for x
    x = 92,946,922.68/4,382.23
  6. Step 6: Final answer
    x = 21,209.98

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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.