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Finding the Third Proportional to 43,686 and 91,530

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Solution

The third proportional to 43,686 and 91,530 is: 191,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686 : 91,530 = 91,530 : x
  2. Step 2: Convert to fraction form
    43,686/91,530 = 91,530/x
  3. Step 3: Cross multiply
    43,686x = 91,530 × 91,530
  4. Step 4: Simplify right side
    43,686x = 8,377,740,900
  5. Step 5: Solve for x
    x = 8,377,740,900/43,686
  6. Step 6: Final answer
    x = 191,771.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.