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Finding the Third Proportional to 69,842 and 108,122

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Solution

The third proportional to 69,842 and 108,122 is: 167,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,842 : 108,122 = 108,122 : x
  2. Step 2: Convert to fraction form
    69,842/108,122 = 108,122/x
  3. Step 3: Cross multiply
    69,842x = 108,122 × 108,122
  4. Step 4: Simplify right side
    69,842x = 11,690,366,884
  5. Step 5: Solve for x
    x = 11,690,366,884/69,842
  6. Step 6: Final answer
    x = 167,383.05

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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.