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Finding the Third Proportional to 80,896 and 120,720

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Solution

The third proportional to 80,896 and 120,720 is: 180,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,896 : 120,720 = 120,720 : x
  2. Step 2: Convert to fraction form
    80,896/120,720 = 120,720/x
  3. Step 3: Cross multiply
    80,896x = 120,720 × 120,720
  4. Step 4: Simplify right side
    80,896x = 14,573,318,400
  5. Step 5: Solve for x
    x = 14,573,318,400/80,896
  6. Step 6: Final answer
    x = 180,148.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.