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Finding the Third Proportional to 2,245.73 and 4,378.27

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Solution

The third proportional to 2,245.73 and 4,378.27 is: 8,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.73 : 4,378.27 = 4,378.27 : x
  2. Step 2: Convert to fraction form
    2,245.73/4,378.27 = 4,378.27/x
  3. Step 3: Cross multiply
    2,245.73x = 4,378.27 × 4,378.27
  4. Step 4: Simplify right side
    2,245.73x = 19,169,261.19
  5. Step 5: Solve for x
    x = 19,169,261.19/2,245.73
  6. Step 6: Final answer
    x = 8,535.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.