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Finding the Third Proportional to 81,941 and 124,621

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Solution

The third proportional to 81,941 and 124,621 is: 189,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,941 : 124,621 = 124,621 : x
  2. Step 2: Convert to fraction form
    81,941/124,621 = 124,621/x
  3. Step 3: Cross multiply
    81,941x = 124,621 × 124,621
  4. Step 4: Simplify right side
    81,941x = 15,530,393,641
  5. Step 5: Solve for x
    x = 15,530,393,641/81,941
  6. Step 6: Final answer
    x = 189,531.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.