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Finding the Third Proportional to 149,853.25 and 321,080.75

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Solution

The third proportional to 149,853.25 and 321,080.75 is: 687,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,853.25 : 321,080.75 = 321,080.75 : x
  2. Step 2: Convert to fraction form
    149,853.25/321,080.75 = 321,080.75/x
  3. Step 3: Cross multiply
    149,853.25x = 321,080.75 × 321,080.75
  4. Step 4: Simplify right side
    149,853.25x = 103,092,848,020.56
  5. Step 5: Solve for x
    x = 103,092,848,020.56/149,853.25
  6. Step 6: Final answer
    x = 687,958.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.