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Finding the Third Proportional to 43,801 and 68,621

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Solution

The third proportional to 43,801 and 68,621 is: 107,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,801 : 68,621 = 68,621 : x
  2. Step 2: Convert to fraction form
    43,801/68,621 = 68,621/x
  3. Step 3: Cross multiply
    43,801x = 68,621 × 68,621
  4. Step 4: Simplify right side
    43,801x = 4,708,841,641
  5. Step 5: Solve for x
    x = 4,708,841,641/43,801
  6. Step 6: Final answer
    x = 107,505.35

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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.