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Finding the Third Proportional to 78,759 and 167,231.25

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Solution

The third proportional to 78,759 and 167,231.25 is: 355,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,759 : 167,231.25 = 167,231.25 : x
  2. Step 2: Convert to fraction form
    78,759/167,231.25 = 167,231.25/x
  3. Step 3: Cross multiply
    78,759x = 167,231.25 × 167,231.25
  4. Step 4: Simplify right side
    78,759x = 27,966,290,976.56
  5. Step 5: Solve for x
    x = 27,966,290,976.56/78,759
  6. Step 6: Final answer
    x = 355,086.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.