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Finding the Third Proportional to 81,546 and 129,738

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Solution

The third proportional to 81,546 and 129,738 is: 206,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,546 : 129,738 = 129,738 : x
  2. Step 2: Convert to fraction form
    81,546/129,738 = 129,738/x
  3. Step 3: Cross multiply
    81,546x = 129,738 × 129,738
  4. Step 4: Simplify right side
    81,546x = 16,831,948,644
  5. Step 5: Solve for x
    x = 16,831,948,644/81,546
  6. Step 6: Final answer
    x = 206,410.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.