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Finding the Third Proportional to 50,100 and 118,480

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Solution

The third proportional to 50,100 and 118,480 is: 280,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 118,480 = 118,480 : x
  2. Step 2: Convert to fraction form
    50,100/118,480 = 118,480/x
  3. Step 3: Cross multiply
    50,100x = 118,480 × 118,480
  4. Step 4: Simplify right side
    50,100x = 14,037,510,400
  5. Step 5: Solve for x
    x = 14,037,510,400/50,100
  6. Step 6: Final answer
    x = 280,189.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.