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Finding the Third Proportional to 198,000 and 262,550.25

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Solution

The third proportional to 198,000 and 262,550.25 is: 348,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,000 : 262,550.25 = 262,550.25 : x
  2. Step 2: Convert to fraction form
    198,000/262,550.25 = 262,550.25/x
  3. Step 3: Cross multiply
    198,000x = 262,550.25 × 262,550.25
  4. Step 4: Simplify right side
    198,000x = 68,932,633,775.06
  5. Step 5: Solve for x
    x = 68,932,633,775.06/198,000
  6. Step 6: Final answer
    x = 348,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.