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Finding the Third Proportional to 85,137 and 128,891

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Solution

The third proportional to 85,137 and 128,891 is: 195,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137 : 128,891 = 128,891 : x
  2. Step 2: Convert to fraction form
    85,137/128,891 = 128,891/x
  3. Step 3: Cross multiply
    85,137x = 128,891 × 128,891
  4. Step 4: Simplify right side
    85,137x = 16,612,889,881
  5. Step 5: Solve for x
    x = 16,612,889,881/85,137
  6. Step 6: Final answer
    x = 195,131.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.