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Finding the Third Proportional to 78,163.13 and 164,939.25

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Solution

The third proportional to 78,163.13 and 164,939.25 is: 348,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.13 : 164,939.25 = 164,939.25 : x
  2. Step 2: Convert to fraction form
    78,163.13/164,939.25 = 164,939.25/x
  3. Step 3: Cross multiply
    78,163.13x = 164,939.25 × 164,939.25
  4. Step 4: Simplify right side
    78,163.13x = 27,204,956,190.56
  5. Step 5: Solve for x
    x = 27,204,956,190.56/78,163.13
  6. Step 6: Final answer
    x = 348,053.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.