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Finding the Third Proportional to 43,530 and 69,021

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Solution

The third proportional to 43,530 and 69,021 is: 109,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,530 : 69,021 = 69,021 : x
  2. Step 2: Convert to fraction form
    43,530/69,021 = 69,021/x
  3. Step 3: Cross multiply
    43,530x = 69,021 × 69,021
  4. Step 4: Simplify right side
    43,530x = 4,763,898,441
  5. Step 5: Solve for x
    x = 4,763,898,441/43,530
  6. Step 6: Final answer
    x = 109,439.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.