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Finding the Third Proportional to 81,296 and 125,816

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Solution

The third proportional to 81,296 and 125,816 is: 194,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,296 : 125,816 = 125,816 : x
  2. Step 2: Convert to fraction form
    81,296/125,816 = 125,816/x
  3. Step 3: Cross multiply
    81,296x = 125,816 × 125,816
  4. Step 4: Simplify right side
    81,296x = 15,829,665,856
  5. Step 5: Solve for x
    x = 15,829,665,856/81,296
  6. Step 6: Final answer
    x = 194,716.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.