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Finding the Third Proportional to 121,407.75 and 247,632.75

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Solution

The third proportional to 121,407.75 and 247,632.75 is: 505,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,407.75 : 247,632.75 = 247,632.75 : x
  2. Step 2: Convert to fraction form
    121,407.75/247,632.75 = 247,632.75/x
  3. Step 3: Cross multiply
    121,407.75x = 247,632.75 × 247,632.75
  4. Step 4: Simplify right side
    121,407.75x = 61,321,978,872.56
  5. Step 5: Solve for x
    x = 61,321,978,872.56/121,407.75
  6. Step 6: Final answer
    x = 505,091.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.