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Finding the Third Proportional to 73,876 and 100,446

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Solution

The third proportional to 73,876 and 100,446 is: 136,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876 : 100,446 = 100,446 : x
  2. Step 2: Convert to fraction form
    73,876/100,446 = 100,446/x
  3. Step 3: Cross multiply
    73,876x = 100,446 × 100,446
  4. Step 4: Simplify right side
    73,876x = 10,089,398,916
  5. Step 5: Solve for x
    x = 10,089,398,916/73,876
  6. Step 6: Final answer
    x = 136,572.08

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.