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Finding the Third Proportional to 13,823 and 21,438.75

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Solution

The third proportional to 13,823 and 21,438.75 is: 33,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823 : 21,438.75 = 21,438.75 : x
  2. Step 2: Convert to fraction form
    13,823/21,438.75 = 21,438.75/x
  3. Step 3: Cross multiply
    13,823x = 21,438.75 × 21,438.75
  4. Step 4: Simplify right side
    13,823x = 459,620,001.56
  5. Step 5: Solve for x
    x = 459,620,001.56/13,823
  6. Step 6: Final answer
    x = 33,250.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.