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Finding the Third Proportional to 43,816 and 68,644

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Solution

The third proportional to 43,816 and 68,644 is: 107,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,816 : 68,644 = 68,644 : x
  2. Step 2: Convert to fraction form
    43,816/68,644 = 68,644/x
  3. Step 3: Cross multiply
    43,816x = 68,644 × 68,644
  4. Step 4: Simplify right side
    43,816x = 4,711,998,736
  5. Step 5: Solve for x
    x = 4,711,998,736/43,816
  6. Step 6: Final answer
    x = 107,540.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.