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Finding the Third Proportional to 42,783 and 93,198

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Solution

The third proportional to 42,783 and 93,198 is: 203,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783 : 93,198 = 93,198 : x
  2. Step 2: Convert to fraction form
    42,783/93,198 = 93,198/x
  3. Step 3: Cross multiply
    42,783x = 93,198 × 93,198
  4. Step 4: Simplify right side
    42,783x = 8,685,867,204
  5. Step 5: Solve for x
    x = 8,685,867,204/42,783
  6. Step 6: Final answer
    x = 203,021.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.