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Finding the Third Proportional to 128,973.75 and 196,224.75

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Solution

The third proportional to 128,973.75 and 196,224.75 is: 298,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,973.75 : 196,224.75 = 196,224.75 : x
  2. Step 2: Convert to fraction form
    128,973.75/196,224.75 = 196,224.75/x
  3. Step 3: Cross multiply
    128,973.75x = 196,224.75 × 196,224.75
  4. Step 4: Simplify right side
    128,973.75x = 38,504,152,512.56
  5. Step 5: Solve for x
    x = 38,504,152,512.56/128,973.75
  6. Step 6: Final answer
    x = 298,542.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.