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Finding the Third Proportional to 43,686 and 67,212

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Solution

The third proportional to 43,686 and 67,212 is: 103,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686 : 67,212 = 67,212 : x
  2. Step 2: Convert to fraction form
    43,686/67,212 = 67,212/x
  3. Step 3: Cross multiply
    43,686x = 67,212 × 67,212
  4. Step 4: Simplify right side
    43,686x = 4,517,452,944
  5. Step 5: Solve for x
    x = 4,517,452,944/43,686
  6. Step 6: Final answer
    x = 103,407.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.