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Finding the Third Proportional to 78,202.13 and 171,956.25

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Solution

The third proportional to 78,202.13 and 171,956.25 is: 378,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.13 : 171,956.25 = 171,956.25 : x
  2. Step 2: Convert to fraction form
    78,202.13/171,956.25 = 171,956.25/x
  3. Step 3: Cross multiply
    78,202.13x = 171,956.25 × 171,956.25
  4. Step 4: Simplify right side
    78,202.13x = 29,568,951,914.06
  5. Step 5: Solve for x
    x = 29,568,951,914.06/78,202.13
  6. Step 6: Final answer
    x = 378,109.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.