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Finding the Third Proportional to 128,742.75 and 196,944.75

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Solution

The third proportional to 128,742.75 and 196,944.75 is: 301,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,742.75 : 196,944.75 = 196,944.75 : x
  2. Step 2: Convert to fraction form
    128,742.75/196,944.75 = 196,944.75/x
  3. Step 3: Cross multiply
    128,742.75x = 196,944.75 × 196,944.75
  4. Step 4: Simplify right side
    128,742.75x = 38,787,234,552.56
  5. Step 5: Solve for x
    x = 38,787,234,552.56/128,742.75
  6. Step 6: Final answer
    x = 301,277.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.