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Finding the Third Proportional to 273,942 and 407,976.75

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Solution

The third proportional to 273,942 and 407,976.75 is: 607,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,942 : 407,976.75 = 407,976.75 : x
  2. Step 2: Convert to fraction form
    273,942/407,976.75 = 407,976.75/x
  3. Step 3: Cross multiply
    273,942x = 407,976.75 × 407,976.75
  4. Step 4: Simplify right side
    273,942x = 166,445,028,540.56
  5. Step 5: Solve for x
    x = 166,445,028,540.56/273,942
  6. Step 6: Final answer
    x = 607,592.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.