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Finding the Third Proportional to 50,800 and 111,440

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Solution

The third proportional to 50,800 and 111,440 is: 244,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,800 : 111,440 = 111,440 : x
  2. Step 2: Convert to fraction form
    50,800/111,440 = 111,440/x
  3. Step 3: Cross multiply
    50,800x = 111,440 × 111,440
  4. Step 4: Simplify right side
    50,800x = 12,418,873,600
  5. Step 5: Solve for x
    x = 12,418,873,600/50,800
  6. Step 6: Final answer
    x = 244,466.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.