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Finding the Third Proportional to 77,754.94 and 158,790.38

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Solution

The third proportional to 77,754.94 and 158,790.38 is: 324,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754.94 : 158,790.38 = 158,790.38 : x
  2. Step 2: Convert to fraction form
    77,754.94/158,790.38 = 158,790.38/x
  3. Step 3: Cross multiply
    77,754.94x = 158,790.38 × 158,790.38
  4. Step 4: Simplify right side
    77,754.94x = 25,214,383,192.64
  5. Step 5: Solve for x
    x = 25,214,383,192.64/77,754.94
  6. Step 6: Final answer
    x = 324,280.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.