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Finding the Third Proportional to 44,538 and 71,019

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Solution

The third proportional to 44,538 and 71,019 is: 113,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,538 : 71,019 = 71,019 : x
  2. Step 2: Convert to fraction form
    44,538/71,019 = 71,019/x
  3. Step 3: Cross multiply
    44,538x = 71,019 × 71,019
  4. Step 4: Simplify right side
    44,538x = 5,043,698,361
  5. Step 5: Solve for x
    x = 5,043,698,361/44,538
  6. Step 6: Final answer
    x = 113,244.83

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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.