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Finding the Third Proportional to 121,400 and 247,615

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Solution

The third proportional to 121,400 and 247,615 is: 505,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,400 : 247,615 = 247,615 : x
  2. Step 2: Convert to fraction form
    121,400/247,615 = 247,615/x
  3. Step 3: Cross multiply
    121,400x = 247,615 × 247,615
  4. Step 4: Simplify right side
    121,400x = 61,313,188,225
  5. Step 5: Solve for x
    x = 61,313,188,225/121,400
  6. Step 6: Final answer
    x = 505,050.97

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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.