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Finding the Third Proportional to 38,880 and 80,213

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Solution

The third proportional to 38,880 and 80,213 is: 165,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 80,213 = 80,213 : x
  2. Step 2: Convert to fraction form
    38,880/80,213 = 80,213/x
  3. Step 3: Cross multiply
    38,880x = 80,213 × 80,213
  4. Step 4: Simplify right side
    38,880x = 6,434,125,369
  5. Step 5: Solve for x
    x = 6,434,125,369/38,880
  6. Step 6: Final answer
    x = 165,486.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.