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Finding the Third Proportional to 43,686 and 102,687

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Solution

The third proportional to 43,686 and 102,687 is: 241,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686 : 102,687 = 102,687 : x
  2. Step 2: Convert to fraction form
    43,686/102,687 = 102,687/x
  3. Step 3: Cross multiply
    43,686x = 102,687 × 102,687
  4. Step 4: Simplify right side
    43,686x = 10,544,619,969
  5. Step 5: Solve for x
    x = 10,544,619,969/43,686
  6. Step 6: Final answer
    x = 241,372.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.