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Finding the Third Proportional to 179,965.50 and 279,380.25

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Solution

The third proportional to 179,965.50 and 279,380.25 is: 433,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,965.50 : 279,380.25 = 279,380.25 : x
  2. Step 2: Convert to fraction form
    179,965.50/279,380.25 = 279,380.25/x
  3. Step 3: Cross multiply
    179,965.50x = 279,380.25 × 279,380.25
  4. Step 4: Simplify right side
    179,965.50x = 78,053,324,090.06
  5. Step 5: Solve for x
    x = 78,053,324,090.06/179,965.50
  6. Step 6: Final answer
    x = 433,712.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.