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Finding the Third Proportional to 80,016 and 128,891

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Solution

The third proportional to 80,016 and 128,891 is: 207,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,016 : 128,891 = 128,891 : x
  2. Step 2: Convert to fraction form
    80,016/128,891 = 128,891/x
  3. Step 3: Cross multiply
    80,016x = 128,891 × 128,891
  4. Step 4: Simplify right side
    80,016x = 16,612,889,881
  5. Step 5: Solve for x
    x = 16,612,889,881/80,016
  6. Step 6: Final answer
    x = 207,619.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.