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Finding the Third Proportional to 81,693.56 and 126,162.56

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Solution

The third proportional to 81,693.56 and 126,162.56 is: 194,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,693.56 : 126,162.56 = 126,162.56 : x
  2. Step 2: Convert to fraction form
    81,693.56/126,162.56 = 126,162.56/x
  3. Step 3: Cross multiply
    81,693.56x = 126,162.56 × 126,162.56
  4. Step 4: Simplify right side
    81,693.56x = 15,916,992,176.57
  5. Step 5: Solve for x
    x = 15,916,992,176.57/81,693.56
  6. Step 6: Final answer
    x = 194,837.78

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