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Finding the Third Proportional to 77,982.12 and 159,659.54

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Solution

The third proportional to 77,982.12 and 159,659.54 is: 326,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.12 : 159,659.54 = 159,659.54 : x
  2. Step 2: Convert to fraction form
    77,982.12/159,659.54 = 159,659.54/x
  3. Step 3: Cross multiply
    77,982.12x = 159,659.54 × 159,659.54
  4. Step 4: Simplify right side
    77,982.12x = 25,491,169,660.99
  5. Step 5: Solve for x
    x = 25,491,169,660.99/77,982.12
  6. Step 6: Final answer
    x = 326,884.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.