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Finding the Third Proportional to 43,936 and 68,089

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Solution

The third proportional to 43,936 and 68,089 is: 105,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,936 : 68,089 = 68,089 : x
  2. Step 2: Convert to fraction form
    43,936/68,089 = 68,089/x
  3. Step 3: Cross multiply
    43,936x = 68,089 × 68,089
  4. Step 4: Simplify right side
    43,936x = 4,636,111,921
  5. Step 5: Solve for x
    x = 4,636,111,921/43,936
  6. Step 6: Final answer
    x = 105,519.66

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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.