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Finding the Third Proportional to 81,451.41 and 126,118.27

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Solution

The third proportional to 81,451.41 and 126,118.27 is: 195,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,451.41 : 126,118.27 = 126,118.27 : x
  2. Step 2: Convert to fraction form
    81,451.41/126,118.27 = 126,118.27/x
  3. Step 3: Cross multiply
    81,451.41x = 126,118.27 × 126,118.27
  4. Step 4: Simplify right side
    81,451.41x = 15,905,816,924.26
  5. Step 5: Solve for x
    x = 15,905,816,924.26/81,451.41
  6. Step 6: Final answer
    x = 195,279.83

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