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Finding the Third Proportional to 70,880 and 106,640

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Solution

The third proportional to 70,880 and 106,640 is: 160,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,880 : 106,640 = 106,640 : x
  2. Step 2: Convert to fraction form
    70,880/106,640 = 106,640/x
  3. Step 3: Cross multiply
    70,880x = 106,640 × 106,640
  4. Step 4: Simplify right side
    70,880x = 11,372,089,600
  5. Step 5: Solve for x
    x = 11,372,089,600/70,880
  6. Step 6: Final answer
    x = 160,441.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.