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Finding the Third Proportional to 81,634 and 126,091

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Solution

The third proportional to 81,634 and 126,091 is: 194,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,634 : 126,091 = 126,091 : x
  2. Step 2: Convert to fraction form
    81,634/126,091 = 126,091/x
  3. Step 3: Cross multiply
    81,634x = 126,091 × 126,091
  4. Step 4: Simplify right side
    81,634x = 15,898,940,281
  5. Step 5: Solve for x
    x = 15,898,940,281/81,634
  6. Step 6: Final answer
    x = 194,758.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.