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Finding the Third Proportional to 299,976.75 and 421,895.25

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Solution

The third proportional to 299,976.75 and 421,895.25 is: 593,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,976.75 : 421,895.25 = 421,895.25 : x
  2. Step 2: Convert to fraction form
    299,976.75/421,895.25 = 421,895.25/x
  3. Step 3: Cross multiply
    299,976.75x = 421,895.25 × 421,895.25
  4. Step 4: Simplify right side
    299,976.75x = 177,995,601,972.56
  5. Step 5: Solve for x
    x = 177,995,601,972.56/299,976.75
  6. Step 6: Final answer
    x = 593,364.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.