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Finding the Third Proportional to 13,785.75 and 18,456.75

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Solution

The third proportional to 13,785.75 and 18,456.75 is: 24,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.75 : 18,456.75 = 18,456.75 : x
  2. Step 2: Convert to fraction form
    13,785.75/18,456.75 = 18,456.75/x
  3. Step 3: Cross multiply
    13,785.75x = 18,456.75 × 18,456.75
  4. Step 4: Simplify right side
    13,785.75x = 340,651,620.56
  5. Step 5: Solve for x
    x = 340,651,620.56/13,785.75
  6. Step 6: Final answer
    x = 24,710.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.