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Finding the Third Proportional to 81,546 and 120,806

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Solution

The third proportional to 81,546 and 120,806 is: 178,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,546 : 120,806 = 120,806 : x
  2. Step 2: Convert to fraction form
    81,546/120,806 = 120,806/x
  3. Step 3: Cross multiply
    81,546x = 120,806 × 120,806
  4. Step 4: Simplify right side
    81,546x = 14,594,089,636
  5. Step 5: Solve for x
    x = 14,594,089,636/81,546
  6. Step 6: Final answer
    x = 178,967.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.