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Finding the Third Proportional to 13,785.19 and 20,629.69

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Solution

The third proportional to 13,785.19 and 20,629.69 is: 30,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.19 : 20,629.69 = 20,629.69 : x
  2. Step 2: Convert to fraction form
    13,785.19/20,629.69 = 20,629.69/x
  3. Step 3: Cross multiply
    13,785.19x = 20,629.69 × 20,629.69
  4. Step 4: Simplify right side
    13,785.19x = 425,584,006.35
  5. Step 5: Solve for x
    x = 425,584,006.35/13,785.19
  6. Step 6: Final answer
    x = 30,872.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.