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Finding the Third Proportional to 73,975 and 120,781

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Solution

The third proportional to 73,975 and 120,781 is: 197,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,975 : 120,781 = 120,781 : x
  2. Step 2: Convert to fraction form
    73,975/120,781 = 120,781/x
  3. Step 3: Cross multiply
    73,975x = 120,781 × 120,781
  4. Step 4: Simplify right side
    73,975x = 14,588,049,961
  5. Step 5: Solve for x
    x = 14,588,049,961/73,975
  6. Step 6: Final answer
    x = 197,202.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.