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Finding the Third Proportional to 13,815.75 and 20,838.75

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Solution

The third proportional to 13,815.75 and 20,838.75 is: 31,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.75 : 20,838.75 = 20,838.75 : x
  2. Step 2: Convert to fraction form
    13,815.75/20,838.75 = 20,838.75/x
  3. Step 3: Cross multiply
    13,815.75x = 20,838.75 × 20,838.75
  4. Step 4: Simplify right side
    13,815.75x = 434,253,501.56
  5. Step 5: Solve for x
    x = 434,253,501.56/13,815.75
  6. Step 6: Final answer
    x = 31,431.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.