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Finding the Third Proportional to 43,938 and 69,902

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Solution

The third proportional to 43,938 and 69,902 is: 111,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,938 : 69,902 = 69,902 : x
  2. Step 2: Convert to fraction form
    43,938/69,902 = 69,902/x
  3. Step 3: Cross multiply
    43,938x = 69,902 × 69,902
  4. Step 4: Simplify right side
    43,938x = 4,886,289,604
  5. Step 5: Solve for x
    x = 4,886,289,604/43,938
  6. Step 6: Final answer
    x = 111,208.74

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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.