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Finding the Third Proportional to 174,642.75 and 421,229.25

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Solution

The third proportional to 174,642.75 and 421,229.25 is: 1,015,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,642.75 : 421,229.25 = 421,229.25 : x
  2. Step 2: Convert to fraction form
    174,642.75/421,229.25 = 421,229.25/x
  3. Step 3: Cross multiply
    174,642.75x = 421,229.25 × 421,229.25
  4. Step 4: Simplify right side
    174,642.75x = 177,434,081,055.56
  5. Step 5: Solve for x
    x = 177,434,081,055.56/174,642.75
  6. Step 6: Final answer
    x = 1,015,983.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.