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Finding the Third Proportional to 70,975 and 109,880

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Solution

The third proportional to 70,975 and 109,880 is: 170,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,975 : 109,880 = 109,880 : x
  2. Step 2: Convert to fraction form
    70,975/109,880 = 109,880/x
  3. Step 3: Cross multiply
    70,975x = 109,880 × 109,880
  4. Step 4: Simplify right side
    70,975x = 12,073,614,400
  5. Step 5: Solve for x
    x = 12,073,614,400/70,975
  6. Step 6: Final answer
    x = 170,110.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.