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Finding the Third Proportional to 236,944.50 and 342,936

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Solution

The third proportional to 236,944.50 and 342,936 is: 496,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,944.50 : 342,936 = 342,936 : x
  2. Step 2: Convert to fraction form
    236,944.50/342,936 = 342,936/x
  3. Step 3: Cross multiply
    236,944.50x = 342,936 × 342,936
  4. Step 4: Simplify right side
    236,944.50x = 117,605,100,096
  5. Step 5: Solve for x
    x = 117,605,100,096/236,944.50
  6. Step 6: Final answer
    x = 496,340.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.